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Finding the Third Proportional to 381,146 and 557,394

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Solution

The third proportional to 381,146 and 557,394 is: 815,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,146 : 557,394 = 557,394 : x
  2. Step 2: Convert to fraction form
    381,146/557,394 = 557,394/x
  3. Step 3: Cross multiply
    381,146x = 557,394 × 557,394
  4. Step 4: Simplify right side
    381,146x = 310,688,071,236
  5. Step 5: Solve for x
    x = 310,688,071,236/381,146
  6. Step 6: Final answer
    x = 815,141.89

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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.