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Finding the Third Proportional to 399,444 and 869,418

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Solution

The third proportional to 399,444 and 869,418 is: 1,892,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,444 : 869,418 = 869,418 : x
  2. Step 2: Convert to fraction form
    399,444/869,418 = 869,418/x
  3. Step 3: Cross multiply
    399,444x = 869,418 × 869,418
  4. Step 4: Simplify right side
    399,444x = 755,887,658,724
  5. Step 5: Solve for x
    x = 755,887,658,724/399,444
  6. Step 6: Final answer
    x = 1,892,349.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.