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Finding the Third Proportional to 31,309 and 68,539

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Solution

The third proportional to 31,309 and 68,539 is: 150,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309 : 68,539 = 68,539 : x
  2. Step 2: Convert to fraction form
    31,309/68,539 = 68,539/x
  3. Step 3: Cross multiply
    31,309x = 68,539 × 68,539
  4. Step 4: Simplify right side
    31,309x = 4,697,594,521
  5. Step 5: Solve for x
    x = 4,697,594,521/31,309
  6. Step 6: Final answer
    x = 150,039.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.