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Finding the Third Proportional to 129,030 and 202,761

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Solution

The third proportional to 129,030 and 202,761 is: 318,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,030 : 202,761 = 202,761 : x
  2. Step 2: Convert to fraction form
    129,030/202,761 = 202,761/x
  3. Step 3: Cross multiply
    129,030x = 202,761 × 202,761
  4. Step 4: Simplify right side
    129,030x = 41,112,023,121
  5. Step 5: Solve for x
    x = 41,112,023,121/129,030
  6. Step 6: Final answer
    x = 318,623.76

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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.