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Finding the Third Proportional to 135,607,428 and 294,332,537.50

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Solution

The third proportional to 135,607,428 and 294,332,537.50 is: 638,841,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,607,428 : 294,332,537.50 = 294,332,537.50 : x
  2. Step 2: Convert to fraction form
    135,607,428/294,332,537.50 = 294,332,537.50/x
  3. Step 3: Cross multiply
    135,607,428x = 294,332,537.50 × 294,332,537.50
  4. Step 4: Simplify right side
    135,607,428x = 86,631,642,631,188,912
  5. Step 5: Solve for x
    x = 86,631,642,631,188,912/135,607,428
  6. Step 6: Final answer
    x = 638,841,425.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.