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Finding the Third Proportional to 423,969 and 914,408

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Solution

The third proportional to 423,969 and 914,408 is: 1,972,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,969 : 914,408 = 914,408 : x
  2. Step 2: Convert to fraction form
    423,969/914,408 = 914,408/x
  3. Step 3: Cross multiply
    423,969x = 914,408 × 914,408
  4. Step 4: Simplify right side
    423,969x = 836,141,990,464
  5. Step 5: Solve for x
    x = 836,141,990,464/423,969
  6. Step 6: Final answer
    x = 1,972,177.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.