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Finding the Third Proportional to 416,839 and 645,851

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Solution

The third proportional to 416,839 and 645,851 is: 1,000,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,839 : 645,851 = 645,851 : x
  2. Step 2: Convert to fraction form
    416,839/645,851 = 645,851/x
  3. Step 3: Cross multiply
    416,839x = 645,851 × 645,851
  4. Step 4: Simplify right side
    416,839x = 417,123,514,201
  5. Step 5: Solve for x
    x = 417,123,514,201/416,839
  6. Step 6: Final answer
    x = 1,000,682.55

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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.