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Finding the Third Proportional to 281,637 and 424,845

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Solution

The third proportional to 281,637 and 424,845 is: 640,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,637 : 424,845 = 424,845 : x
  2. Step 2: Convert to fraction form
    281,637/424,845 = 424,845/x
  3. Step 3: Cross multiply
    281,637x = 424,845 × 424,845
  4. Step 4: Simplify right side
    281,637x = 180,493,274,025
  5. Step 5: Solve for x
    x = 180,493,274,025/281,637
  6. Step 6: Final answer
    x = 640,872.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.