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Finding the Third Proportional to 172,708 and 266,446

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Solution

The third proportional to 172,708 and 266,446 is: 411,060.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,708 : 266,446 = 266,446 : x
  2. Step 2: Convert to fraction form
    172,708/266,446 = 266,446/x
  3. Step 3: Cross multiply
    172,708x = 266,446 × 266,446
  4. Step 4: Simplify right side
    172,708x = 70,993,470,916
  5. Step 5: Solve for x
    x = 70,993,470,916/172,708
  6. Step 6: Final answer
    x = 411,060.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.