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Finding the Third Proportional to 30,693.50 and 65,743

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Solution

The third proportional to 30,693.50 and 65,743 is: 140,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.50 : 65,743 = 65,743 : x
  2. Step 2: Convert to fraction form
    30,693.50/65,743 = 65,743/x
  3. Step 3: Cross multiply
    30,693.50x = 65,743 × 65,743
  4. Step 4: Simplify right side
    30,693.50x = 4,322,142,049
  5. Step 5: Solve for x
    x = 4,322,142,049/30,693.50
  6. Step 6: Final answer
    x = 140,816.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.