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Finding the Third Proportional to 71,440 and 155,580

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Solution

The third proportional to 71,440 and 155,580 is: 338,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,440 : 155,580 = 155,580 : x
  2. Step 2: Convert to fraction form
    71,440/155,580 = 155,580/x
  3. Step 3: Cross multiply
    71,440x = 155,580 × 155,580
  4. Step 4: Simplify right side
    71,440x = 24,205,136,400
  5. Step 5: Solve for x
    x = 24,205,136,400/71,440
  6. Step 6: Final answer
    x = 338,817.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.