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Finding the Third Proportional to 261,918 and 558,180

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Solution

The third proportional to 261,918 and 558,180 is: 1,189,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,918 : 558,180 = 558,180 : x
  2. Step 2: Convert to fraction form
    261,918/558,180 = 558,180/x
  3. Step 3: Cross multiply
    261,918x = 558,180 × 558,180
  4. Step 4: Simplify right side
    261,918x = 311,564,912,400
  5. Step 5: Solve for x
    x = 311,564,912,400/261,918
  6. Step 6: Final answer
    x = 1,189,551.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.