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Finding the Third Proportional to 30,720 and 65,157.75

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Solution

The third proportional to 30,720 and 65,157.75 is: 138,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720 : 65,157.75 = 65,157.75 : x
  2. Step 2: Convert to fraction form
    30,720/65,157.75 = 65,157.75/x
  3. Step 3: Cross multiply
    30,720x = 65,157.75 × 65,157.75
  4. Step 4: Simplify right side
    30,720x = 4,245,532,385.06
  5. Step 5: Solve for x
    x = 4,245,532,385.06/30,720
  6. Step 6: Final answer
    x = 138,200.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.