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Finding the Third Proportional to 131,077 and 286,685

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Solution

The third proportional to 131,077 and 286,685 is: 627,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,077 : 286,685 = 286,685 : x
  2. Step 2: Convert to fraction form
    131,077/286,685 = 286,685/x
  3. Step 3: Cross multiply
    131,077x = 286,685 × 286,685
  4. Step 4: Simplify right side
    131,077x = 82,188,289,225
  5. Step 5: Solve for x
    x = 82,188,289,225/131,077
  6. Step 6: Final answer
    x = 627,022.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.