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Finding the Third Proportional to 12,278 and 19,740

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Solution

The third proportional to 12,278 and 19,740 is: 31,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278 : 19,740 = 19,740 : x
  2. Step 2: Convert to fraction form
    12,278/19,740 = 19,740/x
  3. Step 3: Cross multiply
    12,278x = 19,740 × 19,740
  4. Step 4: Simplify right side
    12,278x = 389,667,600
  5. Step 5: Solve for x
    x = 389,667,600/12,278
  6. Step 6: Final answer
    x = 31,737.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.