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Finding the Third Proportional to 10,768.50 and 14,472

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Solution

The third proportional to 10,768.50 and 14,472 is: 19,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.50 : 14,472 = 14,472 : x
  2. Step 2: Convert to fraction form
    10,768.50/14,472 = 14,472/x
  3. Step 3: Cross multiply
    10,768.50x = 14,472 × 14,472
  4. Step 4: Simplify right side
    10,768.50x = 209,438,784
  5. Step 5: Solve for x
    x = 209,438,784/10,768.50
  6. Step 6: Final answer
    x = 19,449.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.