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Finding the Third Proportional to 428,939 and 847,113

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Solution

The third proportional to 428,939 and 847,113 is: 1,672,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,939 : 847,113 = 847,113 : x
  2. Step 2: Convert to fraction form
    428,939/847,113 = 847,113/x
  3. Step 3: Cross multiply
    428,939x = 847,113 × 847,113
  4. Step 4: Simplify right side
    428,939x = 717,600,434,769
  5. Step 5: Solve for x
    x = 717,600,434,769/428,939
  6. Step 6: Final answer
    x = 1,672,966.17

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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.