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Finding the Third Proportional to 154,023 and 338,286

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Solution

The third proportional to 154,023 and 338,286 is: 742,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,023 : 338,286 = 338,286 : x
  2. Step 2: Convert to fraction form
    154,023/338,286 = 338,286/x
  3. Step 3: Cross multiply
    154,023x = 338,286 × 338,286
  4. Step 4: Simplify right side
    154,023x = 114,437,417,796
  5. Step 5: Solve for x
    x = 114,437,417,796/154,023
  6. Step 6: Final answer
    x = 742,989.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.