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Finding the Third Proportional to 399,972 and 562,533

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Solution

The third proportional to 399,972 and 562,533 is: 791,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,972 : 562,533 = 562,533 : x
  2. Step 2: Convert to fraction form
    399,972/562,533 = 562,533/x
  3. Step 3: Cross multiply
    399,972x = 562,533 × 562,533
  4. Step 4: Simplify right side
    399,972x = 316,443,376,089
  5. Step 5: Solve for x
    x = 316,443,376,089/399,972
  6. Step 6: Final answer
    x = 791,163.82

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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.