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Finding the Third Proportional to 276,784 and 586,372

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Solution

The third proportional to 276,784 and 586,372 is: 1,242,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,784 : 586,372 = 586,372 : x
  2. Step 2: Convert to fraction form
    276,784/586,372 = 586,372/x
  3. Step 3: Cross multiply
    276,784x = 586,372 × 586,372
  4. Step 4: Simplify right side
    276,784x = 343,832,122,384
  5. Step 5: Solve for x
    x = 343,832,122,384/276,784
  6. Step 6: Final answer
    x = 1,242,239.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.