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Finding the Third Proportional to 80,174 and 172,776

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Solution

The third proportional to 80,174 and 172,776 is: 372,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,174 : 172,776 = 172,776 : x
  2. Step 2: Convert to fraction form
    80,174/172,776 = 172,776/x
  3. Step 3: Cross multiply
    80,174x = 172,776 × 172,776
  4. Step 4: Simplify right side
    80,174x = 29,851,546,176
  5. Step 5: Solve for x
    x = 29,851,546,176/80,174
  6. Step 6: Final answer
    x = 372,334.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.