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Finding the Third Proportional to 69,153 and 140,841

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Solution

The third proportional to 69,153 and 140,841 is: 286,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,153 : 140,841 = 140,841 : x
  2. Step 2: Convert to fraction form
    69,153/140,841 = 140,841/x
  3. Step 3: Cross multiply
    69,153x = 140,841 × 140,841
  4. Step 4: Simplify right side
    69,153x = 19,836,187,281
  5. Step 5: Solve for x
    x = 19,836,187,281/69,153
  6. Step 6: Final answer
    x = 286,844.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.