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Finding the Third Proportional to 8,742 and 9,660

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Solution

The third proportional to 8,742 and 9,660 is: 10,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742 : 9,660 = 9,660 : x
  2. Step 2: Convert to fraction form
    8,742/9,660 = 9,660/x
  3. Step 3: Cross multiply
    8,742x = 9,660 × 9,660
  4. Step 4: Simplify right side
    8,742x = 93,315,600
  5. Step 5: Solve for x
    x = 93,315,600/8,742
  6. Step 6: Final answer
    x = 10,674.40

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.