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Finding the Third Proportional to 428,758 and 914,471

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Solution

The third proportional to 428,758 and 914,471 is: 1,950,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,758 : 914,471 = 914,471 : x
  2. Step 2: Convert to fraction form
    428,758/914,471 = 914,471/x
  3. Step 3: Cross multiply
    428,758x = 914,471 × 914,471
  4. Step 4: Simplify right side
    428,758x = 836,257,209,841
  5. Step 5: Solve for x
    x = 836,257,209,841/428,758
  6. Step 6: Final answer
    x = 1,950,417.74

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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.