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Finding the Third Proportional to 261,844 and 558,680

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Solution

The third proportional to 261,844 and 558,680 is: 1,192,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,844 : 558,680 = 558,680 : x
  2. Step 2: Convert to fraction form
    261,844/558,680 = 558,680/x
  3. Step 3: Cross multiply
    261,844x = 558,680 × 558,680
  4. Step 4: Simplify right side
    261,844x = 312,123,342,400
  5. Step 5: Solve for x
    x = 312,123,342,400/261,844
  6. Step 6: Final answer
    x = 1,192,020.22

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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.