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Finding the Third Proportional to 131,427 and 282,435

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Solution

The third proportional to 131,427 and 282,435 is: 606,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,427 : 282,435 = 282,435 : x
  2. Step 2: Convert to fraction form
    131,427/282,435 = 282,435/x
  3. Step 3: Cross multiply
    131,427x = 282,435 × 282,435
  4. Step 4: Simplify right side
    131,427x = 79,769,529,225
  5. Step 5: Solve for x
    x = 79,769,529,225/131,427
  6. Step 6: Final answer
    x = 606,949.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.