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Finding the Third Proportional to 137,966,386 and 216,428,848

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Solution

The third proportional to 137,966,386 and 216,428,848 is: 339,513,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,966,386 : 216,428,848 = 216,428,848 : x
  2. Step 2: Convert to fraction form
    137,966,386/216,428,848 = 216,428,848/x
  3. Step 3: Cross multiply
    137,966,386x = 216,428,848 × 216,428,848
  4. Step 4: Simplify right side
    137,966,386x = 46,841,446,246,607,104
  5. Step 5: Solve for x
    x = 46,841,446,246,607,104/137,966,386
  6. Step 6: Final answer
    x = 339,513,468.50

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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.