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Finding the Third Proportional to 31,628 and 68,143

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Solution

The third proportional to 31,628 and 68,143 is: 146,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,628 : 68,143 = 68,143 : x
  2. Step 2: Convert to fraction form
    31,628/68,143 = 68,143/x
  3. Step 3: Cross multiply
    31,628x = 68,143 × 68,143
  4. Step 4: Simplify right side
    31,628x = 4,643,468,449
  5. Step 5: Solve for x
    x = 4,643,468,449/31,628
  6. Step 6: Final answer
    x = 146,815.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.