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Finding the Third Proportional to 261,782 and 569,912

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Solution

The third proportional to 261,782 and 569,912 is: 1,240,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,782 : 569,912 = 569,912 : x
  2. Step 2: Convert to fraction form
    261,782/569,912 = 569,912/x
  3. Step 3: Cross multiply
    261,782x = 569,912 × 569,912
  4. Step 4: Simplify right side
    261,782x = 324,799,687,744
  5. Step 5: Solve for x
    x = 324,799,687,744/261,782
  6. Step 6: Final answer
    x = 1,240,725.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.