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Finding the Third Proportional to 9,711.50 and 14,248

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Solution

The third proportional to 9,711.50 and 14,248 is: 20,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.50 : 14,248 = 14,248 : x
  2. Step 2: Convert to fraction form
    9,711.50/14,248 = 14,248/x
  3. Step 3: Cross multiply
    9,711.50x = 14,248 × 14,248
  4. Step 4: Simplify right side
    9,711.50x = 203,005,504
  5. Step 5: Solve for x
    x = 203,005,504/9,711.50
  6. Step 6: Final answer
    x = 20,903.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.