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Finding the Third Proportional to 65,305.50 and 143,454.38

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Solution

The third proportional to 65,305.50 and 143,454.38 is: 315,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,305.50 : 143,454.38 = 143,454.38 : x
  2. Step 2: Convert to fraction form
    65,305.50/143,454.38 = 143,454.38/x
  3. Step 3: Cross multiply
    65,305.50x = 143,454.38 × 143,454.38
  4. Step 4: Simplify right side
    65,305.50x = 20,579,157,706.64
  5. Step 5: Solve for x
    x = 20,579,157,706.64/65,305.50
  6. Step 6: Final answer
    x = 315,121.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.