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Finding the Third Proportional to 381,048.50 and 557,268

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Solution

The third proportional to 381,048.50 and 557,268 is: 814,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,048.50 : 557,268 = 557,268 : x
  2. Step 2: Convert to fraction form
    381,048.50/557,268 = 557,268/x
  3. Step 3: Cross multiply
    381,048.50x = 557,268 × 557,268
  4. Step 4: Simplify right side
    381,048.50x = 310,547,623,824
  5. Step 5: Solve for x
    x = 310,547,623,824/381,048.50
  6. Step 6: Final answer
    x = 814,981.88

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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.