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Finding the Third Proportional to 172,755 and 266,512.50

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Solution

The third proportional to 172,755 and 266,512.50 is: 411,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,755 : 266,512.50 = 266,512.50 : x
  2. Step 2: Convert to fraction form
    172,755/266,512.50 = 266,512.50/x
  3. Step 3: Cross multiply
    172,755x = 266,512.50 × 266,512.50
  4. Step 4: Simplify right side
    172,755x = 71,028,912,656.25
  5. Step 5: Solve for x
    x = 71,028,912,656.25/172,755
  6. Step 6: Final answer
    x = 411,154.02

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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.