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Finding the Third Proportional to 261,789 and 558,552

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Solution

The third proportional to 261,789 and 558,552 is: 1,191,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,789 : 558,552 = 558,552 : x
  2. Step 2: Convert to fraction form
    261,789/558,552 = 558,552/x
  3. Step 3: Cross multiply
    261,789x = 558,552 × 558,552
  4. Step 4: Simplify right side
    261,789x = 311,980,336,704
  5. Step 5: Solve for x
    x = 311,980,336,704/261,789
  6. Step 6: Final answer
    x = 1,191,724.39

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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.