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Finding the Third Proportional to 428,976 and 847,170

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Solution

The third proportional to 428,976 and 847,170 is: 1,673,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,976 : 847,170 = 847,170 : x
  2. Step 2: Convert to fraction form
    428,976/847,170 = 847,170/x
  3. Step 3: Cross multiply
    428,976x = 847,170 × 847,170
  4. Step 4: Simplify right side
    428,976x = 717,697,008,900
  5. Step 5: Solve for x
    x = 717,697,008,900/428,976
  6. Step 6: Final answer
    x = 1,673,047.00

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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.