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Finding the Third Proportional to 12,486.66 and 18,986.06

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Solution

The third proportional to 12,486.66 and 18,986.06 is: 28,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.66 : 18,986.06 = 18,986.06 : x
  2. Step 2: Convert to fraction form
    12,486.66/18,986.06 = 18,986.06/x
  3. Step 3: Cross multiply
    12,486.66x = 18,986.06 × 18,986.06
  4. Step 4: Simplify right side
    12,486.66x = 360,470,569.25
  5. Step 5: Solve for x
    x = 360,470,569.25/12,486.66
  6. Step 6: Final answer
    x = 28,868.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.