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Finding the Third Proportional to 142,160,497.50 and 218,413,892.50

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Solution

The third proportional to 142,160,497.50 and 218,413,892.50 is: 335,568,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,160,497.50 : 218,413,892.50 = 218,413,892.50 : x
  2. Step 2: Convert to fraction form
    142,160,497.50/218,413,892.50 = 218,413,892.50/x
  3. Step 3: Cross multiply
    142,160,497.50x = 218,413,892.50 × 218,413,892.50
  4. Step 4: Simplify right side
    142,160,497.50x = 47,704,628,437,001,560
  5. Step 5: Solve for x
    x = 47,704,628,437,001,560/142,160,497.50
  6. Step 6: Final answer
    x = 335,568,806.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.