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Finding the Third Proportional to 129,461.50 and 200,913

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Solution

The third proportional to 129,461.50 and 200,913 is: 311,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,461.50 : 200,913 = 200,913 : x
  2. Step 2: Convert to fraction form
    129,461.50/200,913 = 200,913/x
  3. Step 3: Cross multiply
    129,461.50x = 200,913 × 200,913
  4. Step 4: Simplify right side
    129,461.50x = 40,366,033,569
  5. Step 5: Solve for x
    x = 40,366,033,569/129,461.50
  6. Step 6: Final answer
    x = 311,799.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.