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Finding the Third Proportional to 136,329 and 279,269

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Solution

The third proportional to 136,329 and 279,269 is: 572,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,329 : 279,269 = 279,269 : x
  2. Step 2: Convert to fraction form
    136,329/279,269 = 279,269/x
  3. Step 3: Cross multiply
    136,329x = 279,269 × 279,269
  4. Step 4: Simplify right side
    136,329x = 77,991,174,361
  5. Step 5: Solve for x
    x = 77,991,174,361/136,329
  6. Step 6: Final answer
    x = 572,080.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.