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Finding the Third Proportional to 132,406.52 and 170,006.98

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Solution

The third proportional to 132,406.52 and 170,006.98 is: 218,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,406.52 : 170,006.98 = 170,006.98 : x
  2. Step 2: Convert to fraction form
    132,406.52/170,006.98 = 170,006.98/x
  3. Step 3: Cross multiply
    132,406.52x = 170,006.98 × 170,006.98
  4. Step 4: Simplify right side
    132,406.52x = 28,902,372,079.92
  5. Step 5: Solve for x
    x = 28,902,372,079.92/132,406.52
  6. Step 6: Final answer
    x = 218,285.11

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.