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Finding the Third Proportional to 417,839 and 645,927

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Solution

The third proportional to 417,839 and 645,927 is: 998,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,839 : 645,927 = 645,927 : x
  2. Step 2: Convert to fraction form
    417,839/645,927 = 645,927/x
  3. Step 3: Cross multiply
    417,839x = 645,927 × 645,927
  4. Step 4: Simplify right side
    417,839x = 417,221,689,329
  5. Step 5: Solve for x
    x = 417,221,689,329/417,839
  6. Step 6: Final answer
    x = 998,522.61

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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.