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Finding the Third Proportional to 137,966,388 and 216,428,851

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Solution

The third proportional to 137,966,388 and 216,428,851 is: 339,513,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,966,388 : 216,428,851 = 216,428,851 : x
  2. Step 2: Convert to fraction form
    137,966,388/216,428,851 = 216,428,851/x
  3. Step 3: Cross multiply
    137,966,388x = 216,428,851 × 216,428,851
  4. Step 4: Simplify right side
    137,966,388x = 46,841,447,545,180,200
  5. Step 5: Solve for x
    x = 46,841,447,545,180,200/137,966,388
  6. Step 6: Final answer
    x = 339,513,472.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.