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Finding the Third Proportional to 132,660 and 210,057.50

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Solution

The third proportional to 132,660 and 210,057.50 is: 332,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,660 : 210,057.50 = 210,057.50 : x
  2. Step 2: Convert to fraction form
    132,660/210,057.50 = 210,057.50/x
  3. Step 3: Cross multiply
    132,660x = 210,057.50 × 210,057.50
  4. Step 4: Simplify right side
    132,660x = 44,124,153,306.25
  5. Step 5: Solve for x
    x = 44,124,153,306.25/132,660
  6. Step 6: Final answer
    x = 332,610.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.