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Finding the Third Proportional to 129,849.75 and 202,975.88

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Solution

The third proportional to 129,849.75 and 202,975.88 is: 317,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,849.75 : 202,975.88 = 202,975.88 : x
  2. Step 2: Convert to fraction form
    129,849.75/202,975.88 = 202,975.88/x
  3. Step 3: Cross multiply
    129,849.75x = 202,975.88 × 202,975.88
  4. Step 4: Simplify right side
    129,849.75x = 41,199,205,832.02
  5. Step 5: Solve for x
    x = 41,199,205,832.02/129,849.75
  6. Step 6: Final answer
    x = 317,283.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.