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Finding the Third Proportional to 12,408.19 and 15,381.14

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Solution

The third proportional to 12,408.19 and 15,381.14 is: 19,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.19 : 15,381.14 = 15,381.14 : x
  2. Step 2: Convert to fraction form
    12,408.19/15,381.14 = 15,381.14/x
  3. Step 3: Cross multiply
    12,408.19x = 15,381.14 × 15,381.14
  4. Step 4: Simplify right side
    12,408.19x = 236,579,486.93
  5. Step 5: Solve for x
    x = 236,579,486.93/12,408.19
  6. Step 6: Final answer
    x = 19,066.40

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.