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Finding the Third Proportional to 416,972 and 910,408

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Solution

The third proportional to 416,972 and 910,408 is: 1,987,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,972 : 910,408 = 910,408 : x
  2. Step 2: Convert to fraction form
    416,972/910,408 = 910,408/x
  3. Step 3: Cross multiply
    416,972x = 910,408 × 910,408
  4. Step 4: Simplify right side
    416,972x = 828,842,726,464
  5. Step 5: Solve for x
    x = 828,842,726,464/416,972
  6. Step 6: Final answer
    x = 1,987,765.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.