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Finding the Third Proportional to 7,740 and 10,938

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Solution

The third proportional to 7,740 and 10,938 is: 15,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740 : 10,938 = 10,938 : x
  2. Step 2: Convert to fraction form
    7,740/10,938 = 10,938/x
  3. Step 3: Cross multiply
    7,740x = 10,938 × 10,938
  4. Step 4: Simplify right side
    7,740x = 119,639,844
  5. Step 5: Solve for x
    x = 119,639,844/7,740
  6. Step 6: Final answer
    x = 15,457.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.