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Finding the Third Proportional to 218,218,572 and 476,435,278.50

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Solution

The third proportional to 218,218,572 and 476,435,278.50 is: 1,040,198,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,218,572 : 476,435,278.50 = 476,435,278.50 : x
  2. Step 2: Convert to fraction form
    218,218,572/476,435,278.50 = 476,435,278.50/x
  3. Step 3: Cross multiply
    218,218,572x = 476,435,278.50 × 476,435,278.50
  4. Step 4: Simplify right side
    218,218,572x = 226,990,574,599,372,576
  5. Step 5: Solve for x
    x = 226,990,574,599,372,576/218,218,572
  6. Step 6: Final answer
    x = 1,040,198,240.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.