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Finding the Third Proportional to 250,074 and 328,455

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Solution

The third proportional to 250,074 and 328,455 is: 431,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,074 : 328,455 = 328,455 : x
  2. Step 2: Convert to fraction form
    250,074/328,455 = 328,455/x
  3. Step 3: Cross multiply
    250,074x = 328,455 × 328,455
  4. Step 4: Simplify right side
    250,074x = 107,882,687,025
  5. Step 5: Solve for x
    x = 107,882,687,025/250,074
  6. Step 6: Final answer
    x = 431,403.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.