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Finding the Third Proportional to 428,937 and 847,109

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Solution

The third proportional to 428,937 and 847,109 is: 1,672,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,937 : 847,109 = 847,109 : x
  2. Step 2: Convert to fraction form
    428,937/847,109 = 847,109/x
  3. Step 3: Cross multiply
    428,937x = 847,109 × 847,109
  4. Step 4: Simplify right side
    428,937x = 717,593,657,881
  5. Step 5: Solve for x
    x = 717,593,657,881/428,937
  6. Step 6: Final answer
    x = 1,672,958.17

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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.