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Finding the Third Proportional to 6,972.75 and 10,479.38

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Solution

The third proportional to 6,972.75 and 10,479.38 is: 15,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.75 : 10,479.38 = 10,479.38 : x
  2. Step 2: Convert to fraction form
    6,972.75/10,479.38 = 10,479.38/x
  3. Step 3: Cross multiply
    6,972.75x = 10,479.38 × 10,479.38
  4. Step 4: Simplify right side
    6,972.75x = 109,817,300.39
  5. Step 5: Solve for x
    x = 109,817,300.39/6,972.75
  6. Step 6: Final answer
    x = 15,749.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.