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Finding the Third Proportional to 258,497 and 378,734

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Solution

The third proportional to 258,497 and 378,734 is: 554,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,497 : 378,734 = 378,734 : x
  2. Step 2: Convert to fraction form
    258,497/378,734 = 378,734/x
  3. Step 3: Cross multiply
    258,497x = 378,734 × 378,734
  4. Step 4: Simplify right side
    258,497x = 143,439,442,756
  5. Step 5: Solve for x
    x = 143,439,442,756/258,497
  6. Step 6: Final answer
    x = 554,897.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.