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Finding the Third Proportional to 276,156 and 579,960

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Solution

The third proportional to 276,156 and 579,960 is: 1,217,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,156 : 579,960 = 579,960 : x
  2. Step 2: Convert to fraction form
    276,156/579,960 = 579,960/x
  3. Step 3: Cross multiply
    276,156x = 579,960 × 579,960
  4. Step 4: Simplify right side
    276,156x = 336,353,601,600
  5. Step 5: Solve for x
    x = 336,353,601,600/276,156
  6. Step 6: Final answer
    x = 1,217,984.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.