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Finding the Third Proportional to 138,264 and 291,282

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Solution

The third proportional to 138,264 and 291,282 is: 613,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,264 : 291,282 = 291,282 : x
  2. Step 2: Convert to fraction form
    138,264/291,282 = 291,282/x
  3. Step 3: Cross multiply
    138,264x = 291,282 × 291,282
  4. Step 4: Simplify right side
    138,264x = 84,845,203,524
  5. Step 5: Solve for x
    x = 84,845,203,524/138,264
  6. Step 6: Final answer
    x = 613,646.38

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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.