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Finding the Third Proportional to 438,102 and 676,498

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Solution

The third proportional to 438,102 and 676,498 is: 1,044,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,102 : 676,498 = 676,498 : x
  2. Step 2: Convert to fraction form
    438,102/676,498 = 676,498/x
  3. Step 3: Cross multiply
    438,102x = 676,498 × 676,498
  4. Step 4: Simplify right side
    438,102x = 457,649,544,004
  5. Step 5: Solve for x
    x = 457,649,544,004/438,102
  6. Step 6: Final answer
    x = 1,044,618.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.