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Finding the Third Proportional to 428,719 and 914,381

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Solution

The third proportional to 428,719 and 914,381 is: 1,950,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,719 : 914,381 = 914,381 : x
  2. Step 2: Convert to fraction form
    428,719/914,381 = 914,381/x
  3. Step 3: Cross multiply
    428,719x = 914,381 × 914,381
  4. Step 4: Simplify right side
    428,719x = 836,092,613,161
  5. Step 5: Solve for x
    x = 836,092,613,161/428,719
  6. Step 6: Final answer
    x = 1,950,211.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.