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Finding the Third Proportional to 78,349.50 and 172,251

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Solution

The third proportional to 78,349.50 and 172,251 is: 378,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,349.50 : 172,251 = 172,251 : x
  2. Step 2: Convert to fraction form
    78,349.50/172,251 = 172,251/x
  3. Step 3: Cross multiply
    78,349.50x = 172,251 × 172,251
  4. Step 4: Simplify right side
    78,349.50x = 29,670,407,001
  5. Step 5: Solve for x
    x = 29,670,407,001/78,349.50
  6. Step 6: Final answer
    x = 378,693.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.