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Finding the Third Proportional to 69,486.19 and 141,994.69

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Solution

The third proportional to 69,486.19 and 141,994.69 is: 290,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,486.19 : 141,994.69 = 141,994.69 : x
  2. Step 2: Convert to fraction form
    69,486.19/141,994.69 = 141,994.69/x
  3. Step 3: Cross multiply
    69,486.19x = 141,994.69 × 141,994.69
  4. Step 4: Simplify right side
    69,486.19x = 20,162,491,278.22
  5. Step 5: Solve for x
    x = 20,162,491,278.22/69,486.19
  6. Step 6: Final answer
    x = 290,165.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.