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Finding the Third Proportional to 154,443 and 338,409

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Solution

The third proportional to 154,443 and 338,409 is: 741,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,443 : 338,409 = 338,409 : x
  2. Step 2: Convert to fraction form
    154,443/338,409 = 338,409/x
  3. Step 3: Cross multiply
    154,443x = 338,409 × 338,409
  4. Step 4: Simplify right side
    154,443x = 114,520,651,281
  5. Step 5: Solve for x
    x = 114,520,651,281/154,443
  6. Step 6: Final answer
    x = 741,507.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.