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Finding the Third Proportional to 129,680 and 286,576

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Solution

The third proportional to 129,680 and 286,576 is: 633,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,680 : 286,576 = 286,576 : x
  2. Step 2: Convert to fraction form
    129,680/286,576 = 286,576/x
  3. Step 3: Cross multiply
    129,680x = 286,576 × 286,576
  4. Step 4: Simplify right side
    129,680x = 82,125,803,776
  5. Step 5: Solve for x
    x = 82,125,803,776/129,680
  6. Step 6: Final answer
    x = 633,295.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.