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Finding the Third Proportional to 68,042 and 105,615

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Solution

The third proportional to 68,042 and 105,615 is: 163,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,042 : 105,615 = 105,615 : x
  2. Step 2: Convert to fraction form
    68,042/105,615 = 105,615/x
  3. Step 3: Cross multiply
    68,042x = 105,615 × 105,615
  4. Step 4: Simplify right side
    68,042x = 11,154,528,225
  5. Step 5: Solve for x
    x = 11,154,528,225/68,042
  6. Step 6: Final answer
    x = 163,935.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.