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Finding the Third Proportional to 428,754 and 914,463

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Solution

The third proportional to 428,754 and 914,463 is: 1,950,401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,754 : 914,463 = 914,463 : x
  2. Step 2: Convert to fraction form
    428,754/914,463 = 914,463/x
  3. Step 3: Cross multiply
    428,754x = 914,463 × 914,463
  4. Step 4: Simplify right side
    428,754x = 836,242,578,369
  5. Step 5: Solve for x
    x = 836,242,578,369/428,754
  6. Step 6: Final answer
    x = 1,950,401.81

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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.