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Finding the Third Proportional to 126,998 and 271,490

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Solution

The third proportional to 126,998 and 271,490 is: 580,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,998 : 271,490 = 271,490 : x
  2. Step 2: Convert to fraction form
    126,998/271,490 = 271,490/x
  3. Step 3: Cross multiply
    126,998x = 271,490 × 271,490
  4. Step 4: Simplify right side
    126,998x = 73,706,820,100
  5. Step 5: Solve for x
    x = 73,706,820,100/126,998
  6. Step 6: Final answer
    x = 580,377.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.