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Finding the Third Proportional to 72,869.50 and 107,220.50

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Solution

The third proportional to 72,869.50 and 107,220.50 is: 157,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,869.50 : 107,220.50 = 107,220.50 : x
  2. Step 2: Convert to fraction form
    72,869.50/107,220.50 = 107,220.50/x
  3. Step 3: Cross multiply
    72,869.50x = 107,220.50 × 107,220.50
  4. Step 4: Simplify right side
    72,869.50x = 11,496,235,620.25
  5. Step 5: Solve for x
    x = 11,496,235,620.25/72,869.50
  6. Step 6: Final answer
    x = 157,764.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.