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Finding the Third Proportional to 381,103 and 557,342

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Solution

The third proportional to 381,103 and 557,342 is: 815,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,103 : 557,342 = 557,342 : x
  2. Step 2: Convert to fraction form
    381,103/557,342 = 557,342/x
  3. Step 3: Cross multiply
    381,103x = 557,342 × 557,342
  4. Step 4: Simplify right side
    381,103x = 310,630,104,964
  5. Step 5: Solve for x
    x = 310,630,104,964/381,103
  6. Step 6: Final answer
    x = 815,081.76

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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.