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Finding the Third Proportional to 46,405,228.50 and 102,077,050.50

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Solution

The third proportional to 46,405,228.50 and 102,077,050.50 is: 224,537,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,405,228.50 : 102,077,050.50 = 102,077,050.50 : x
  2. Step 2: Convert to fraction form
    46,405,228.50/102,077,050.50 = 102,077,050.50/x
  3. Step 3: Cross multiply
    46,405,228.50x = 102,077,050.50 × 102,077,050.50
  4. Step 4: Simplify right side
    46,405,228.50x = 10,419,724,238,779,550
  5. Step 5: Solve for x
    x = 10,419,724,238,779,550/46,405,228.50
  6. Step 6: Final answer
    x = 224,537,720.76

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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.