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Finding the Third Proportional to 428,830 and 914,612

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Solution

The third proportional to 428,830 and 914,612 is: 1,950,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,830 : 914,612 = 914,612 : x
  2. Step 2: Convert to fraction form
    428,830/914,612 = 914,612/x
  3. Step 3: Cross multiply
    428,830x = 914,612 × 914,612
  4. Step 4: Simplify right side
    428,830x = 836,515,110,544
  5. Step 5: Solve for x
    x = 836,515,110,544/428,830
  6. Step 6: Final answer
    x = 1,950,691.67

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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.