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Finding the Third Proportional to 132,566 and 200,779

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Solution

The third proportional to 132,566 and 200,779 is: 304,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,566 : 200,779 = 200,779 : x
  2. Step 2: Convert to fraction form
    132,566/200,779 = 200,779/x
  3. Step 3: Cross multiply
    132,566x = 200,779 × 200,779
  4. Step 4: Simplify right side
    132,566x = 40,312,206,841
  5. Step 5: Solve for x
    x = 40,312,206,841/132,566
  6. Step 6: Final answer
    x = 304,091.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.