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Finding the Third Proportional to 131,769 and 289,779

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Solution

The third proportional to 131,769 and 289,779 is: 637,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,769 : 289,779 = 289,779 : x
  2. Step 2: Convert to fraction form
    131,769/289,779 = 289,779/x
  3. Step 3: Cross multiply
    131,769x = 289,779 × 289,779
  4. Step 4: Simplify right side
    131,769x = 83,971,868,841
  5. Step 5: Solve for x
    x = 83,971,868,841/131,769
  6. Step 6: Final answer
    x = 637,265.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.