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Finding the Third Proportional to 398,936 and 875,374

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Solution

The third proportional to 398,936 and 875,374 is: 1,920,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,936 : 875,374 = 875,374 : x
  2. Step 2: Convert to fraction form
    398,936/875,374 = 875,374/x
  3. Step 3: Cross multiply
    398,936x = 875,374 × 875,374
  4. Step 4: Simplify right side
    398,936x = 766,279,639,876
  5. Step 5: Solve for x
    x = 766,279,639,876/398,936
  6. Step 6: Final answer
    x = 1,920,808.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.