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Finding the Third Proportional to 328,517 and 431,359

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Solution

The third proportional to 328,517 and 431,359 is: 566,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,517 : 431,359 = 431,359 : x
  2. Step 2: Convert to fraction form
    328,517/431,359 = 431,359/x
  3. Step 3: Cross multiply
    328,517x = 431,359 × 431,359
  4. Step 4: Simplify right side
    328,517x = 186,070,586,881
  5. Step 5: Solve for x
    x = 186,070,586,881/328,517
  6. Step 6: Final answer
    x = 566,395.61

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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.