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Finding the Third Proportional to 59,268 and 128,376

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Solution

The third proportional to 59,268 and 128,376 is: 278,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,268 : 128,376 = 128,376 : x
  2. Step 2: Convert to fraction form
    59,268/128,376 = 128,376/x
  3. Step 3: Cross multiply
    59,268x = 128,376 × 128,376
  4. Step 4: Simplify right side
    59,268x = 16,480,397,376
  5. Step 5: Solve for x
    x = 16,480,397,376/59,268
  6. Step 6: Final answer
    x = 278,065.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.