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Finding the Third Proportional to 8,658.75 and 12,382.50

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Solution

The third proportional to 8,658.75 and 12,382.50 is: 17,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.75 : 12,382.50 = 12,382.50 : x
  2. Step 2: Convert to fraction form
    8,658.75/12,382.50 = 12,382.50/x
  3. Step 3: Cross multiply
    8,658.75x = 12,382.50 × 12,382.50
  4. Step 4: Simplify right side
    8,658.75x = 153,326,306.25
  5. Step 5: Solve for x
    x = 153,326,306.25/8,658.75
  6. Step 6: Final answer
    x = 17,707.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.