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Finding the Third Proportional to 68,209 and 105,230

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Solution

The third proportional to 68,209 and 105,230 is: 162,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,209 : 105,230 = 105,230 : x
  2. Step 2: Convert to fraction form
    68,209/105,230 = 105,230/x
  3. Step 3: Cross multiply
    68,209x = 105,230 × 105,230
  4. Step 4: Simplify right side
    68,209x = 11,073,352,900
  5. Step 5: Solve for x
    x = 11,073,352,900/68,209
  6. Step 6: Final answer
    x = 162,344.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.