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Finding the Third Proportional to 381,047.38 and 557,266.50

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Solution

The third proportional to 381,047.38 and 557,266.50 is: 814,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,047.38 : 557,266.50 = 557,266.50 : x
  2. Step 2: Convert to fraction form
    381,047.38/557,266.50 = 557,266.50/x
  3. Step 3: Cross multiply
    381,047.38x = 557,266.50 × 557,266.50
  4. Step 4: Simplify right side
    381,047.38x = 310,545,952,022.25
  5. Step 5: Solve for x
    x = 310,545,952,022.25/381,047.38
  6. Step 6: Final answer
    x = 814,979.90

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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.