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Finding the Third Proportional to 68,616 and 102,636

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Solution

The third proportional to 68,616 and 102,636 is: 153,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,616 : 102,636 = 102,636 : x
  2. Step 2: Convert to fraction form
    68,616/102,636 = 102,636/x
  3. Step 3: Cross multiply
    68,616x = 102,636 × 102,636
  4. Step 4: Simplify right side
    68,616x = 10,534,148,496
  5. Step 5: Solve for x
    x = 10,534,148,496/68,616
  6. Step 6: Final answer
    x = 153,523.21

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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.