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Finding the Third Proportional to 12,165.19 and 18,316.13

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Solution

The third proportional to 12,165.19 and 18,316.13 is: 27,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 18,316.13 = 18,316.13 : x
  2. Step 2: Convert to fraction form
    12,165.19/18,316.13 = 18,316.13/x
  3. Step 3: Cross multiply
    12,165.19x = 18,316.13 × 18,316.13
  4. Step 4: Simplify right side
    12,165.19x = 335,480,435.02
  5. Step 5: Solve for x
    x = 335,480,435.02/12,165.19
  6. Step 6: Final answer
    x = 27,577.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.