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Finding the Third Proportional to 9,756 and 10,572

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Solution

The third proportional to 9,756 and 10,572 is: 11,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756 : 10,572 = 10,572 : x
  2. Step 2: Convert to fraction form
    9,756/10,572 = 10,572/x
  3. Step 3: Cross multiply
    9,756x = 10,572 × 10,572
  4. Step 4: Simplify right side
    9,756x = 111,767,184
  5. Step 5: Solve for x
    x = 111,767,184/9,756
  6. Step 6: Final answer
    x = 11,456.25

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.