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Finding the Third Proportional to 78,192.56 and 170,722.13

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Solution

The third proportional to 78,192.56 and 170,722.13 is: 372,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192.56 : 170,722.13 = 170,722.13 : x
  2. Step 2: Convert to fraction form
    78,192.56/170,722.13 = 170,722.13/x
  3. Step 3: Cross multiply
    78,192.56x = 170,722.13 × 170,722.13
  4. Step 4: Simplify right side
    78,192.56x = 29,146,043,964.52
  5. Step 5: Solve for x
    x = 29,146,043,964.52/78,192.56
  6. Step 6: Final answer
    x = 372,747.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.