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Finding the Third Proportional to 119,478 and 172,710

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Solution

The third proportional to 119,478 and 172,710 is: 249,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,478 : 172,710 = 172,710 : x
  2. Step 2: Convert to fraction form
    119,478/172,710 = 172,710/x
  3. Step 3: Cross multiply
    119,478x = 172,710 × 172,710
  4. Step 4: Simplify right side
    119,478x = 29,828,744,100
  5. Step 5: Solve for x
    x = 29,828,744,100/119,478
  6. Step 6: Final answer
    x = 249,658.88

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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.