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Finding the Third Proportional to 328,426 and 494,988

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Solution

The third proportional to 328,426 and 494,988 is: 746,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,426 : 494,988 = 494,988 : x
  2. Step 2: Convert to fraction form
    328,426/494,988 = 494,988/x
  3. Step 3: Cross multiply
    328,426x = 494,988 × 494,988
  4. Step 4: Simplify right side
    328,426x = 245,013,120,144
  5. Step 5: Solve for x
    x = 245,013,120,144/328,426
  6. Step 6: Final answer
    x = 746,022.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.