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Finding the Third Proportional to 30,190.50 and 71,037

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Solution

The third proportional to 30,190.50 and 71,037 is: 167,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,190.50 : 71,037 = 71,037 : x
  2. Step 2: Convert to fraction form
    30,190.50/71,037 = 71,037/x
  3. Step 3: Cross multiply
    30,190.50x = 71,037 × 71,037
  4. Step 4: Simplify right side
    30,190.50x = 5,046,255,369
  5. Step 5: Solve for x
    x = 5,046,255,369/30,190.50
  6. Step 6: Final answer
    x = 167,147.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.