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Finding the Third Proportional to 78,174.57 and 170,686.11

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Solution

The third proportional to 78,174.57 and 170,686.11 is: 372,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,174.57 : 170,686.11 = 170,686.11 : x
  2. Step 2: Convert to fraction form
    78,174.57/170,686.11 = 170,686.11/x
  3. Step 3: Cross multiply
    78,174.57x = 170,686.11 × 170,686.11
  4. Step 4: Simplify right side
    78,174.57x = 29,133,749,142.05
  5. Step 5: Solve for x
    x = 29,133,749,142.05/78,174.57
  6. Step 6: Final answer
    x = 372,675.52

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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.