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Finding the Third Proportional to 31,351 and 68,533

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Solution

The third proportional to 31,351 and 68,533 is: 149,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,351 : 68,533 = 68,533 : x
  2. Step 2: Convert to fraction form
    31,351/68,533 = 68,533/x
  3. Step 3: Cross multiply
    31,351x = 68,533 × 68,533
  4. Step 4: Simplify right side
    31,351x = 4,696,772,089
  5. Step 5: Solve for x
    x = 4,696,772,089/31,351
  6. Step 6: Final answer
    x = 149,812.51

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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.