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Finding the Third Proportional to 199,050,742,444.50 and 438,674,364,846

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Solution

The third proportional to 199,050,742,444.50 and 438,674,364,846 is: 966,764,534,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,050,742,444.50 : 438,674,364,846 = 438,674,364,846 : x
  2. Step 2: Convert to fraction form
    199,050,742,444.50/438,674,364,846 = 438,674,364,846/x
  3. Step 3: Cross multiply
    199,050,742,444.50x = 438,674,364,846 × 438,674,364,846
  4. Step 4: Simplify right side
    199,050,742,444.50x = 192,435,198,373,041,524,441,088
  5. Step 5: Solve for x
    x = 192,435,198,373,041,524,441,088/199,050,742,444.50
  6. Step 6: Final answer
    x = 966,764,534,559.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.