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Finding the Third Proportional to 132,732 and 205,518

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Solution

The third proportional to 132,732 and 205,518 is: 318,217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,732 : 205,518 = 205,518 : x
  2. Step 2: Convert to fraction form
    132,732/205,518 = 205,518/x
  3. Step 3: Cross multiply
    132,732x = 205,518 × 205,518
  4. Step 4: Simplify right side
    132,732x = 42,237,648,324
  5. Step 5: Solve for x
    x = 42,237,648,324/132,732
  6. Step 6: Final answer
    x = 318,217.52

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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.