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Finding the Third Proportional to 137,966,382 and 216,428,841

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Solution

The third proportional to 137,966,382 and 216,428,841 is: 339,513,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,966,382 : 216,428,841 = 216,428,841 : x
  2. Step 2: Convert to fraction form
    137,966,382/216,428,841 = 216,428,841/x
  3. Step 3: Cross multiply
    137,966,382x = 216,428,841 × 216,428,841
  4. Step 4: Simplify right side
    137,966,382x = 46,841,443,216,603,280
  5. Step 5: Solve for x
    x = 46,841,443,216,603,280/137,966,382
  6. Step 6: Final answer
    x = 339,513,456.38

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Why These Related Problems?

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