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Finding the Third Proportional to 399,466 and 561,880

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Solution

The third proportional to 399,466 and 561,880 is: 790,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,466 : 561,880 = 561,880 : x
  2. Step 2: Convert to fraction form
    399,466/561,880 = 561,880/x
  3. Step 3: Cross multiply
    399,466x = 561,880 × 561,880
  4. Step 4: Simplify right side
    399,466x = 315,709,134,400
  5. Step 5: Solve for x
    x = 315,709,134,400/399,466
  6. Step 6: Final answer
    x = 790,327.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.