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Finding the Third Proportional to 154,778 and 338,719

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Solution

The third proportional to 154,778 and 338,719 is: 741,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,778 : 338,719 = 338,719 : x
  2. Step 2: Convert to fraction form
    154,778/338,719 = 338,719/x
  3. Step 3: Cross multiply
    154,778x = 338,719 × 338,719
  4. Step 4: Simplify right side
    154,778x = 114,730,560,961
  5. Step 5: Solve for x
    x = 114,730,560,961/154,778
  6. Step 6: Final answer
    x = 741,258.84

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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.