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Finding the Third Proportional to 103,586 and 156,779

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Solution

The third proportional to 103,586 and 156,779 is: 237,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,586 : 156,779 = 156,779 : x
  2. Step 2: Convert to fraction form
    103,586/156,779 = 156,779/x
  3. Step 3: Cross multiply
    103,586x = 156,779 × 156,779
  4. Step 4: Simplify right side
    103,586x = 24,579,654,841
  5. Step 5: Solve for x
    x = 24,579,654,841/103,586
  6. Step 6: Final answer
    x = 237,287.42

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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.