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Finding the Third Proportional to 71,510 and 141,220

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Solution

The third proportional to 71,510 and 141,220 is: 278,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,510 : 141,220 = 141,220 : x
  2. Step 2: Convert to fraction form
    71,510/141,220 = 141,220/x
  3. Step 3: Cross multiply
    71,510x = 141,220 × 141,220
  4. Step 4: Simplify right side
    71,510x = 19,943,088,400
  5. Step 5: Solve for x
    x = 19,943,088,400/71,510
  6. Step 6: Final answer
    x = 278,885.31

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.