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Finding the Third Proportional to 418,314 and 646,366

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Solution

The third proportional to 418,314 and 646,366 is: 998,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,314 : 646,366 = 646,366 : x
  2. Step 2: Convert to fraction form
    418,314/646,366 = 646,366/x
  3. Step 3: Cross multiply
    418,314x = 646,366 × 646,366
  4. Step 4: Simplify right side
    418,314x = 417,789,005,956
  5. Step 5: Solve for x
    x = 417,789,005,956/418,314
  6. Step 6: Final answer
    x = 998,744.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.