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Finding the Third Proportional to 96,471 and 151,480.13

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Solution

The third proportional to 96,471 and 151,480.13 is: 237,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,471 : 151,480.13 = 151,480.13 : x
  2. Step 2: Convert to fraction form
    96,471/151,480.13 = 151,480.13/x
  3. Step 3: Cross multiply
    96,471x = 151,480.13 × 151,480.13
  4. Step 4: Simplify right side
    96,471x = 22,946,228,270.02
  5. Step 5: Solve for x
    x = 22,946,228,270.02/96,471
  6. Step 6: Final answer
    x = 237,856.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.