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Finding the Third Proportional to 381,145.50 and 557,391

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Solution

The third proportional to 381,145.50 and 557,391 is: 815,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,145.50 : 557,391 = 557,391 : x
  2. Step 2: Convert to fraction form
    381,145.50/557,391 = 557,391/x
  3. Step 3: Cross multiply
    381,145.50x = 557,391 × 557,391
  4. Step 4: Simplify right side
    381,145.50x = 310,684,726,881
  5. Step 5: Solve for x
    x = 310,684,726,881/381,145.50
  6. Step 6: Final answer
    x = 815,134.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.