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Finding the Third Proportional to 281,650 and 424,871

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Solution

The third proportional to 281,650 and 424,871 is: 640,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,650 : 424,871 = 424,871 : x
  2. Step 2: Convert to fraction form
    281,650/424,871 = 424,871/x
  3. Step 3: Cross multiply
    281,650x = 424,871 × 424,871
  4. Step 4: Simplify right side
    281,650x = 180,515,366,641
  5. Step 5: Solve for x
    x = 180,515,366,641/281,650
  6. Step 6: Final answer
    x = 640,920.88

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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.