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Finding the Third Proportional to 71,365.50 and 111,133.13

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Solution

The third proportional to 71,365.50 and 111,133.13 is: 173,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,365.50 : 111,133.13 = 111,133.13 : x
  2. Step 2: Convert to fraction form
    71,365.50/111,133.13 = 111,133.13/x
  3. Step 3: Cross multiply
    71,365.50x = 111,133.13 × 111,133.13
  4. Step 4: Simplify right side
    71,365.50x = 12,350,571,472.27
  5. Step 5: Solve for x
    x = 12,350,571,472.27/71,365.50
  6. Step 6: Final answer
    x = 173,060.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.