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Finding the Third Proportional to 100,316 and 149,331

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Solution

The third proportional to 100,316 and 149,331 is: 222,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,316 : 149,331 = 149,331 : x
  2. Step 2: Convert to fraction form
    100,316/149,331 = 149,331/x
  3. Step 3: Cross multiply
    100,316x = 149,331 × 149,331
  4. Step 4: Simplify right side
    100,316x = 22,299,747,561
  5. Step 5: Solve for x
    x = 22,299,747,561/100,316
  6. Step 6: Final answer
    x = 222,295.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.