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Finding the Third Proportional to 71,242.50 and 105,765

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Solution

The third proportional to 71,242.50 and 105,765 is: 157,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,242.50 : 105,765 = 105,765 : x
  2. Step 2: Convert to fraction form
    71,242.50/105,765 = 105,765/x
  3. Step 3: Cross multiply
    71,242.50x = 105,765 × 105,765
  4. Step 4: Simplify right side
    71,242.50x = 11,186,235,225
  5. Step 5: Solve for x
    x = 11,186,235,225/71,242.50
  6. Step 6: Final answer
    x = 157,016.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.