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Finding the Third Proportional to 428,708 and 914,353

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Solution

The third proportional to 428,708 and 914,353 is: 1,950,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,708 : 914,353 = 914,353 : x
  2. Step 2: Convert to fraction form
    428,708/914,353 = 914,353/x
  3. Step 3: Cross multiply
    428,708x = 914,353 × 914,353
  4. Step 4: Simplify right side
    428,708x = 836,041,408,609
  5. Step 5: Solve for x
    x = 836,041,408,609/428,708
  6. Step 6: Final answer
    x = 1,950,141.84

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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.