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Finding the Third Proportional to 418,494 and 891,738

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Solution

The third proportional to 418,494 and 891,738 is: 1,900,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,494 : 891,738 = 891,738 : x
  2. Step 2: Convert to fraction form
    418,494/891,738 = 891,738/x
  3. Step 3: Cross multiply
    418,494x = 891,738 × 891,738
  4. Step 4: Simplify right side
    418,494x = 795,196,660,644
  5. Step 5: Solve for x
    x = 795,196,660,644/418,494
  6. Step 6: Final answer
    x = 1,900,138.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.