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Finding the Third Proportional to 172,102.50 and 372,805.88

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Solution

The third proportional to 172,102.50 and 372,805.88 is: 807,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,102.50 : 372,805.88 = 372,805.88 : x
  2. Step 2: Convert to fraction form
    172,102.50/372,805.88 = 372,805.88/x
  3. Step 3: Cross multiply
    172,102.50x = 372,805.88 × 372,805.88
  4. Step 4: Simplify right side
    172,102.50x = 138,984,220,434.52
  5. Step 5: Solve for x
    x = 138,984,220,434.52/172,102.50
  6. Step 6: Final answer
    x = 807,566.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.