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Finding the Third Proportional to 10,120 and 15,755

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Solution

The third proportional to 10,120 and 15,755 is: 24,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120 : 15,755 = 15,755 : x
  2. Step 2: Convert to fraction form
    10,120/15,755 = 15,755/x
  3. Step 3: Cross multiply
    10,120x = 15,755 × 15,755
  4. Step 4: Simplify right side
    10,120x = 248,220,025
  5. Step 5: Solve for x
    x = 248,220,025/10,120
  6. Step 6: Final answer
    x = 24,527.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.