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Finding the Third Proportional to 399,963 and 562,521

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Solution

The third proportional to 399,963 and 562,521 is: 791,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,963 : 562,521 = 562,521 : x
  2. Step 2: Convert to fraction form
    399,963/562,521 = 562,521/x
  3. Step 3: Cross multiply
    399,963x = 562,521 × 562,521
  4. Step 4: Simplify right side
    399,963x = 316,429,875,441
  5. Step 5: Solve for x
    x = 316,429,875,441/399,963
  6. Step 6: Final answer
    x = 791,147.87

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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.