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Finding the Third Proportional to 328,519 and 431,362

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Solution

The third proportional to 328,519 and 431,362 is: 566,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,519 : 431,362 = 431,362 : x
  2. Step 2: Convert to fraction form
    328,519/431,362 = 431,362/x
  3. Step 3: Cross multiply
    328,519x = 431,362 × 431,362
  4. Step 4: Simplify right side
    328,519x = 186,073,175,044
  5. Step 5: Solve for x
    x = 186,073,175,044/328,519
  6. Step 6: Final answer
    x = 566,400.04

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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.