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Finding the Third Proportional to 138,266 and 291,286

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Solution

The third proportional to 138,266 and 291,286 is: 613,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,266 : 291,286 = 291,286 : x
  2. Step 2: Convert to fraction form
    138,266/291,286 = 291,286/x
  3. Step 3: Cross multiply
    138,266x = 291,286 × 291,286
  4. Step 4: Simplify right side
    138,266x = 84,847,533,796
  5. Step 5: Solve for x
    x = 84,847,533,796/138,266
  6. Step 6: Final answer
    x = 613,654.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.