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Finding the Third Proportional to 418,956 and 910,812

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Solution

The third proportional to 418,956 and 910,812 is: 1,980,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,956 : 910,812 = 910,812 : x
  2. Step 2: Convert to fraction form
    418,956/910,812 = 910,812/x
  3. Step 3: Cross multiply
    418,956x = 910,812 × 910,812
  4. Step 4: Simplify right side
    418,956x = 829,578,499,344
  5. Step 5: Solve for x
    x = 829,578,499,344/418,956
  6. Step 6: Final answer
    x = 1,980,108.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.