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Finding the Third Proportional to 78,777.56 and 172,932.47

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Solution

The third proportional to 78,777.56 and 172,932.47 is: 379,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,777.56 : 172,932.47 = 172,932.47 : x
  2. Step 2: Convert to fraction form
    78,777.56/172,932.47 = 172,932.47/x
  3. Step 3: Cross multiply
    78,777.56x = 172,932.47 × 172,932.47
  4. Step 4: Simplify right side
    78,777.56x = 29,905,638,747.97
  5. Step 5: Solve for x
    x = 29,905,638,747.97/78,777.56
  6. Step 6: Final answer
    x = 379,621.28

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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.