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Finding the Third Proportional to 96,147 and 128,560.50

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Solution

The third proportional to 96,147 and 128,560.50 is: 171,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,147 : 128,560.50 = 128,560.50 : x
  2. Step 2: Convert to fraction form
    96,147/128,560.50 = 128,560.50/x
  3. Step 3: Cross multiply
    96,147x = 128,560.50 × 128,560.50
  4. Step 4: Simplify right side
    96,147x = 16,527,802,160.25
  5. Step 5: Solve for x
    x = 16,527,802,160.25/96,147
  6. Step 6: Final answer
    x = 171,901.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.