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Finding the Third Proportional to 129,033 and 202,765.50

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Solution

The third proportional to 129,033 and 202,765.50 is: 318,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,033 : 202,765.50 = 202,765.50 : x
  2. Step 2: Convert to fraction form
    129,033/202,765.50 = 202,765.50/x
  3. Step 3: Cross multiply
    129,033x = 202,765.50 × 202,765.50
  4. Step 4: Simplify right side
    129,033x = 41,113,847,990.25
  5. Step 5: Solve for x
    x = 41,113,847,990.25/129,033
  6. Step 6: Final answer
    x = 318,630.49

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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.