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Finding the Third Proportional to 69,363 and 143,214.75

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Solution

The third proportional to 69,363 and 143,214.75 is: 295,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,363 : 143,214.75 = 143,214.75 : x
  2. Step 2: Convert to fraction form
    69,363/143,214.75 = 143,214.75/x
  3. Step 3: Cross multiply
    69,363x = 143,214.75 × 143,214.75
  4. Step 4: Simplify right side
    69,363x = 20,510,464,617.56
  5. Step 5: Solve for x
    x = 20,510,464,617.56/69,363
  6. Step 6: Final answer
    x = 295,697.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.