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Finding the Third Proportional to 78,860.62 and 171,031.18

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Solution

The third proportional to 78,860.62 and 171,031.18 is: 370,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,860.62 : 171,031.18 = 171,031.18 : x
  2. Step 2: Convert to fraction form
    78,860.62/171,031.18 = 171,031.18/x
  3. Step 3: Cross multiply
    78,860.62x = 171,031.18 × 171,031.18
  4. Step 4: Simplify right side
    78,860.62x = 29,251,665,761.48
  5. Step 5: Solve for x
    x = 29,251,665,761.48/78,860.62
  6. Step 6: Final answer
    x = 370,928.69

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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.