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Finding the Third Proportional to 428,972 and 914,943

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Solution

The third proportional to 428,972 and 914,943 is: 1,951,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,972 : 914,943 = 914,943 : x
  2. Step 2: Convert to fraction form
    428,972/914,943 = 914,943/x
  3. Step 3: Cross multiply
    428,972x = 914,943 × 914,943
  4. Step 4: Simplify right side
    428,972x = 837,120,693,249
  5. Step 5: Solve for x
    x = 837,120,693,249/428,972
  6. Step 6: Final answer
    x = 1,951,457.66

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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.