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Finding the Third Proportional to 132,387 and 288,102

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Solution

The third proportional to 132,387 and 288,102 is: 626,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,387 : 288,102 = 288,102 : x
  2. Step 2: Convert to fraction form
    132,387/288,102 = 288,102/x
  3. Step 3: Cross multiply
    132,387x = 288,102 × 288,102
  4. Step 4: Simplify right side
    132,387x = 83,002,762,404
  5. Step 5: Solve for x
    x = 83,002,762,404/132,387
  6. Step 6: Final answer
    x = 626,970.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.