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Finding the Third Proportional to 428,710 and 914,356

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Solution

The third proportional to 428,710 and 914,356 is: 1,950,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,710 : 914,356 = 914,356 : x
  2. Step 2: Convert to fraction form
    428,710/914,356 = 914,356/x
  3. Step 3: Cross multiply
    428,710x = 914,356 × 914,356
  4. Step 4: Simplify right side
    428,710x = 836,046,894,736
  5. Step 5: Solve for x
    x = 836,046,894,736/428,710
  6. Step 6: Final answer
    x = 1,950,145.54

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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.