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Finding the Third Proportional to 134,472 and 289,691

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Solution

The third proportional to 134,472 and 289,691 is: 624,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,472 : 289,691 = 289,691 : x
  2. Step 2: Convert to fraction form
    134,472/289,691 = 289,691/x
  3. Step 3: Cross multiply
    134,472x = 289,691 × 289,691
  4. Step 4: Simplify right side
    134,472x = 83,920,875,481
  5. Step 5: Solve for x
    x = 83,920,875,481/134,472
  6. Step 6: Final answer
    x = 624,076.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.