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Finding the Third Proportional to 13,657.36 and 15,707.67

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Solution

The third proportional to 13,657.36 and 15,707.67 is: 18,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.36 : 15,707.67 = 15,707.67 : x
  2. Step 2: Convert to fraction form
    13,657.36/15,707.67 = 15,707.67/x
  3. Step 3: Cross multiply
    13,657.36x = 15,707.67 × 15,707.67
  4. Step 4: Simplify right side
    13,657.36x = 246,730,955.73
  5. Step 5: Solve for x
    x = 246,730,955.73/13,657.36
  6. Step 6: Final answer
    x = 18,065.79

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.