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Finding the Third Proportional to 68,629 and 105,620

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Solution

The third proportional to 68,629 and 105,620 is: 162,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,629 : 105,620 = 105,620 : x
  2. Step 2: Convert to fraction form
    68,629/105,620 = 105,620/x
  3. Step 3: Cross multiply
    68,629x = 105,620 × 105,620
  4. Step 4: Simplify right side
    68,629x = 11,155,584,400
  5. Step 5: Solve for x
    x = 11,155,584,400/68,629
  6. Step 6: Final answer
    x = 162,549.13

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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.