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Finding the Third Proportional to 151,818.75 and 218,706

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Solution

The third proportional to 151,818.75 and 218,706 is: 315,061.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,818.75 : 218,706 = 218,706 : x
  2. Step 2: Convert to fraction form
    151,818.75/218,706 = 218,706/x
  3. Step 3: Cross multiply
    151,818.75x = 218,706 × 218,706
  4. Step 4: Simplify right side
    151,818.75x = 47,832,314,436
  5. Step 5: Solve for x
    x = 47,832,314,436/151,818.75
  6. Step 6: Final answer
    x = 315,061.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.