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Finding the Third Proportional to 100,989.28 and 149,531.06

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Solution

The third proportional to 100,989.28 and 149,531.06 is: 221,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,989.28 : 149,531.06 = 149,531.06 : x
  2. Step 2: Convert to fraction form
    100,989.28/149,531.06 = 149,531.06/x
  3. Step 3: Cross multiply
    100,989.28x = 149,531.06 × 149,531.06
  4. Step 4: Simplify right side
    100,989.28x = 22,359,538,652.38
  5. Step 5: Solve for x
    x = 22,359,538,652.38/100,989.28
  6. Step 6: Final answer
    x = 221,405.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.