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Finding the Third Proportional to 79,197.50 and 172,337.25

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Solution

The third proportional to 79,197.50 and 172,337.25 is: 375,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,197.50 : 172,337.25 = 172,337.25 : x
  2. Step 2: Convert to fraction form
    79,197.50/172,337.25 = 172,337.25/x
  3. Step 3: Cross multiply
    79,197.50x = 172,337.25 × 172,337.25
  4. Step 4: Simplify right side
    79,197.50x = 29,700,127,737.56
  5. Step 5: Solve for x
    x = 29,700,127,737.56/79,197.50
  6. Step 6: Final answer
    x = 375,013.45

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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.