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Finding the Third Proportional to 132,779 and 286,687

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Solution

The third proportional to 132,779 and 286,687 is: 618,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,779 : 286,687 = 286,687 : x
  2. Step 2: Convert to fraction form
    132,779/286,687 = 286,687/x
  3. Step 3: Cross multiply
    132,779x = 286,687 × 286,687
  4. Step 4: Simplify right side
    132,779x = 82,189,435,969
  5. Step 5: Solve for x
    x = 82,189,435,969/132,779
  6. Step 6: Final answer
    x = 618,994.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.