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Finding the Third Proportional to 71,430 and 136,380

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Solution

The third proportional to 71,430 and 136,380 is: 260,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,430 : 136,380 = 136,380 : x
  2. Step 2: Convert to fraction form
    71,430/136,380 = 136,380/x
  3. Step 3: Cross multiply
    71,430x = 136,380 × 136,380
  4. Step 4: Simplify right side
    71,430x = 18,599,504,400
  5. Step 5: Solve for x
    x = 18,599,504,400/71,430
  6. Step 6: Final answer
    x = 260,387.85

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.