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Finding the Third Proportional to 12,658.78 and 18,551.53

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Solution

The third proportional to 12,658.78 and 18,551.53 is: 27,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.78 : 18,551.53 = 18,551.53 : x
  2. Step 2: Convert to fraction form
    12,658.78/18,551.53 = 18,551.53/x
  3. Step 3: Cross multiply
    12,658.78x = 18,551.53 × 18,551.53
  4. Step 4: Simplify right side
    12,658.78x = 344,159,311.72
  5. Step 5: Solve for x
    x = 344,159,311.72/12,658.78
  6. Step 6: Final answer
    x = 27,187.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.