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Finding the Third Proportional to 133,024.78 and 206,532.28

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Solution

The third proportional to 133,024.78 and 206,532.28 is: 320,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,024.78 : 206,532.28 = 206,532.28 : x
  2. Step 2: Convert to fraction form
    133,024.78/206,532.28 = 206,532.28/x
  3. Step 3: Cross multiply
    133,024.78x = 206,532.28 × 206,532.28
  4. Step 4: Simplify right side
    133,024.78x = 42,655,583,198.33
  5. Step 5: Solve for x
    x = 42,655,583,198.33/133,024.78
  6. Step 6: Final answer
    x = 320,658.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.