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Finding the Third Proportional to 69,409 and 150,473

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Solution

The third proportional to 69,409 and 150,473 is: 326,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,409 : 150,473 = 150,473 : x
  2. Step 2: Convert to fraction form
    69,409/150,473 = 150,473/x
  3. Step 3: Cross multiply
    69,409x = 150,473 × 150,473
  4. Step 4: Simplify right side
    69,409x = 22,642,123,729
  5. Step 5: Solve for x
    x = 22,642,123,729/69,409
  6. Step 6: Final answer
    x = 326,213.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.