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Finding the Third Proportional to 5,278 and 9,740

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Solution

The third proportional to 5,278 and 9,740 is: 17,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278 : 9,740 = 9,740 : x
  2. Step 2: Convert to fraction form
    5,278/9,740 = 9,740/x
  3. Step 3: Cross multiply
    5,278x = 9,740 × 9,740
  4. Step 4: Simplify right side
    5,278x = 94,867,600
  5. Step 5: Solve for x
    x = 94,867,600/5,278
  6. Step 6: Final answer
    x = 17,974.16

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.