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Finding the Third Proportional to 172,680 and 266,688

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Solution

The third proportional to 172,680 and 266,688 is: 411,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,680 : 266,688 = 266,688 : x
  2. Step 2: Convert to fraction form
    172,680/266,688 = 266,688/x
  3. Step 3: Cross multiply
    172,680x = 266,688 × 266,688
  4. Step 4: Simplify right side
    172,680x = 71,122,489,344
  5. Step 5: Solve for x
    x = 71,122,489,344/172,680
  6. Step 6: Final answer
    x = 411,874.50

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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.