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Finding the Third Proportional to 438,374 and 676,029

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Solution

The third proportional to 438,374 and 676,029 is: 1,042,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,374 : 676,029 = 676,029 : x
  2. Step 2: Convert to fraction form
    438,374/676,029 = 676,029/x
  3. Step 3: Cross multiply
    438,374x = 676,029 × 676,029
  4. Step 4: Simplify right side
    438,374x = 457,015,208,841
  5. Step 5: Solve for x
    x = 457,015,208,841/438,374
  6. Step 6: Final answer
    x = 1,042,523.53

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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.