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Finding the Third Proportional to 154,742 and 338,644

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Solution

The third proportional to 154,742 and 338,644 is: 741,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,742 : 338,644 = 338,644 : x
  2. Step 2: Convert to fraction form
    154,742/338,644 = 338,644/x
  3. Step 3: Cross multiply
    154,742x = 338,644 × 338,644
  4. Step 4: Simplify right side
    154,742x = 114,679,758,736
  5. Step 5: Solve for x
    x = 114,679,758,736/154,742
  6. Step 6: Final answer
    x = 741,102.99

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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.