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Finding the Third Proportional to 68,440 and 102,384

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Solution

The third proportional to 68,440 and 102,384 is: 153,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,440 : 102,384 = 102,384 : x
  2. Step 2: Convert to fraction form
    68,440/102,384 = 102,384/x
  3. Step 3: Cross multiply
    68,440x = 102,384 × 102,384
  4. Step 4: Simplify right side
    68,440x = 10,482,483,456
  5. Step 5: Solve for x
    x = 10,482,483,456/68,440
  6. Step 6: Final answer
    x = 153,163.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.