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Finding the Third Proportional to 129,656 and 286,528

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Solution

The third proportional to 129,656 and 286,528 is: 633,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,656 : 286,528 = 286,528 : x
  2. Step 2: Convert to fraction form
    129,656/286,528 = 286,528/x
  3. Step 3: Cross multiply
    129,656x = 286,528 × 286,528
  4. Step 4: Simplify right side
    129,656x = 82,098,294,784
  5. Step 5: Solve for x
    x = 82,098,294,784/129,656
  6. Step 6: Final answer
    x = 633,200.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.