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Finding the Third Proportional to 261,840 and 558,672

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Solution

The third proportional to 261,840 and 558,672 is: 1,192,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,840 : 558,672 = 558,672 : x
  2. Step 2: Convert to fraction form
    261,840/558,672 = 558,672/x
  3. Step 3: Cross multiply
    261,840x = 558,672 × 558,672
  4. Step 4: Simplify right side
    261,840x = 312,114,403,584
  5. Step 5: Solve for x
    x = 312,114,403,584/261,840
  6. Step 6: Final answer
    x = 1,192,004.29

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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.