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Finding the Third Proportional to 100,959.50 and 218,431

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Solution

The third proportional to 100,959.50 and 218,431 is: 472,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,959.50 : 218,431 = 218,431 : x
  2. Step 2: Convert to fraction form
    100,959.50/218,431 = 218,431/x
  3. Step 3: Cross multiply
    100,959.50x = 218,431 × 218,431
  4. Step 4: Simplify right side
    100,959.50x = 47,712,101,761
  5. Step 5: Solve for x
    x = 47,712,101,761/100,959.50
  6. Step 6: Final answer
    x = 472,586.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.