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Finding the Third Proportional to 328,582 and 494,331

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Solution

The third proportional to 328,582 and 494,331 is: 743,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,582 : 494,331 = 494,331 : x
  2. Step 2: Convert to fraction form
    328,582/494,331 = 494,331/x
  3. Step 3: Cross multiply
    328,582x = 494,331 × 494,331
  4. Step 4: Simplify right side
    328,582x = 244,363,137,561
  5. Step 5: Solve for x
    x = 244,363,137,561/328,582
  6. Step 6: Final answer
    x = 743,689.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.