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Finding the Third Proportional to 281,463.19 and 424,630.69

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Solution

The third proportional to 281,463.19 and 424,630.69 is: 640,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,463.19 : 424,630.69 = 424,630.69 : x
  2. Step 2: Convert to fraction form
    281,463.19/424,630.69 = 424,630.69/x
  3. Step 3: Cross multiply
    281,463.19x = 424,630.69 × 424,630.69
  4. Step 4: Simplify right side
    281,463.19x = 180,311,220,766.72
  5. Step 5: Solve for x
    x = 180,311,220,766.72/281,463.19
  6. Step 6: Final answer
    x = 640,620.97

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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.