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Finding the Third Proportional to 9,740 and 10,988

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Solution

The third proportional to 9,740 and 10,988 is: 12,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740 : 10,988 = 10,988 : x
  2. Step 2: Convert to fraction form
    9,740/10,988 = 10,988/x
  3. Step 3: Cross multiply
    9,740x = 10,988 × 10,988
  4. Step 4: Simplify right side
    9,740x = 120,736,144
  5. Step 5: Solve for x
    x = 120,736,144/9,740
  6. Step 6: Final answer
    x = 12,395.91

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.