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Finding the Third Proportional to 72,341 and 155,779

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Solution

The third proportional to 72,341 and 155,779 is: 335,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,341 : 155,779 = 155,779 : x
  2. Step 2: Convert to fraction form
    72,341/155,779 = 155,779/x
  3. Step 3: Cross multiply
    72,341x = 155,779 × 155,779
  4. Step 4: Simplify right side
    72,341x = 24,267,096,841
  5. Step 5: Solve for x
    x = 24,267,096,841/72,341
  6. Step 6: Final answer
    x = 335,454.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.