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Finding the Third Proportional to 12,180 and 18,681.75

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Solution

The third proportional to 12,180 and 18,681.75 is: 28,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180 : 18,681.75 = 18,681.75 : x
  2. Step 2: Convert to fraction form
    12,180/18,681.75 = 18,681.75/x
  3. Step 3: Cross multiply
    12,180x = 18,681.75 × 18,681.75
  4. Step 4: Simplify right side
    12,180x = 349,007,783.06
  5. Step 5: Solve for x
    x = 349,007,783.06/12,180
  6. Step 6: Final answer
    x = 28,654.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.