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Finding the Third Proportional to 136,418 and 279,396

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Solution

The third proportional to 136,418 and 279,396 is: 572,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,418 : 279,396 = 279,396 : x
  2. Step 2: Convert to fraction form
    136,418/279,396 = 279,396/x
  3. Step 3: Cross multiply
    136,418x = 279,396 × 279,396
  4. Step 4: Simplify right side
    136,418x = 78,062,124,816
  5. Step 5: Solve for x
    x = 78,062,124,816/136,418
  6. Step 6: Final answer
    x = 572,227.45

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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.