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Finding the Third Proportional to 72,115.50 and 154,887

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Solution

The third proportional to 72,115.50 and 154,887 is: 332,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,115.50 : 154,887 = 154,887 : x
  2. Step 2: Convert to fraction form
    72,115.50/154,887 = 154,887/x
  3. Step 3: Cross multiply
    72,115.50x = 154,887 × 154,887
  4. Step 4: Simplify right side
    72,115.50x = 23,989,982,769
  5. Step 5: Solve for x
    x = 23,989,982,769/72,115.50
  6. Step 6: Final answer
    x = 332,660.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.