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Finding the Third Proportional to 132,708 and 205,488

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Solution

The third proportional to 132,708 and 205,488 is: 318,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,708 : 205,488 = 205,488 : x
  2. Step 2: Convert to fraction form
    132,708/205,488 = 205,488/x
  3. Step 3: Cross multiply
    132,708x = 205,488 × 205,488
  4. Step 4: Simplify right side
    132,708x = 42,225,318,144
  5. Step 5: Solve for x
    x = 42,225,318,144/132,708
  6. Step 6: Final answer
    x = 318,182.16

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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.