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Finding the Third Proportional to 129,587.76 and 202,846.39

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Solution

The third proportional to 129,587.76 and 202,846.39 is: 317,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,587.76 : 202,846.39 = 202,846.39 : x
  2. Step 2: Convert to fraction form
    129,587.76/202,846.39 = 202,846.39/x
  3. Step 3: Cross multiply
    129,587.76x = 202,846.39 × 202,846.39
  4. Step 4: Simplify right side
    129,587.76x = 41,146,656,208.67
  5. Step 5: Solve for x
    x = 41,146,656,208.67/129,587.76
  6. Step 6: Final answer
    x = 317,519.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.