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Finding the Third Proportional to 68,990 and 105,465

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Solution

The third proportional to 68,990 and 105,465 is: 161,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,990 : 105,465 = 105,465 : x
  2. Step 2: Convert to fraction form
    68,990/105,465 = 105,465/x
  3. Step 3: Cross multiply
    68,990x = 105,465 × 105,465
  4. Step 4: Simplify right side
    68,990x = 11,122,866,225
  5. Step 5: Solve for x
    x = 11,122,866,225/68,990
  6. Step 6: Final answer
    x = 161,224.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.