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Finding the Third Proportional to 428,934 and 847,103

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Solution

The third proportional to 428,934 and 847,103 is: 1,672,946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,934 : 847,103 = 847,103 : x
  2. Step 2: Convert to fraction form
    428,934/847,103 = 847,103/x
  3. Step 3: Cross multiply
    428,934x = 847,103 × 847,103
  4. Step 4: Simplify right side
    428,934x = 717,583,492,609
  5. Step 5: Solve for x
    x = 717,583,492,609/428,934
  6. Step 6: Final answer
    x = 1,672,946.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.