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Finding the Third Proportional to 119,446 and 172,664

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Solution

The third proportional to 119,446 and 172,664 is: 249,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,446 : 172,664 = 172,664 : x
  2. Step 2: Convert to fraction form
    119,446/172,664 = 172,664/x
  3. Step 3: Cross multiply
    119,446x = 172,664 × 172,664
  4. Step 4: Simplify right side
    119,446x = 29,812,856,896
  5. Step 5: Solve for x
    x = 29,812,856,896/119,446
  6. Step 6: Final answer
    x = 249,592.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.