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Finding the Third Proportional to 399,444 and 561,844

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Solution

The third proportional to 399,444 and 561,844 is: 790,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,444 : 561,844 = 561,844 : x
  2. Step 2: Convert to fraction form
    399,444/561,844 = 561,844/x
  3. Step 3: Cross multiply
    399,444x = 561,844 × 561,844
  4. Step 4: Simplify right side
    399,444x = 315,668,680,336
  5. Step 5: Solve for x
    x = 315,668,680,336/399,444
  6. Step 6: Final answer
    x = 790,270.18

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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.