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Finding the Third Proportional to 261,822 and 402,939

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Solution

The third proportional to 261,822 and 402,939 is: 620,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,822 : 402,939 = 402,939 : x
  2. Step 2: Convert to fraction form
    261,822/402,939 = 402,939/x
  3. Step 3: Cross multiply
    261,822x = 402,939 × 402,939
  4. Step 4: Simplify right side
    261,822x = 162,359,837,721
  5. Step 5: Solve for x
    x = 162,359,837,721/261,822
  6. Step 6: Final answer
    x = 620,115.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.