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Finding the Third Proportional to 132,800 and 200,310

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Solution

The third proportional to 132,800 and 200,310 is: 302,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,800 : 200,310 = 200,310 : x
  2. Step 2: Convert to fraction form
    132,800/200,310 = 200,310/x
  3. Step 3: Cross multiply
    132,800x = 200,310 × 200,310
  4. Step 4: Simplify right side
    132,800x = 40,124,096,100
  5. Step 5: Solve for x
    x = 40,124,096,100/132,800
  6. Step 6: Final answer
    x = 302,139.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.