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Finding the Third Proportional to 68,428 and 141,448

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Solution

The third proportional to 68,428 and 141,448 is: 292,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,428 : 141,448 = 141,448 : x
  2. Step 2: Convert to fraction form
    68,428/141,448 = 141,448/x
  3. Step 3: Cross multiply
    68,428x = 141,448 × 141,448
  4. Step 4: Simplify right side
    68,428x = 20,007,536,704
  5. Step 5: Solve for x
    x = 20,007,536,704/68,428
  6. Step 6: Final answer
    x = 292,388.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.