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Finding the Third Proportional to 69,160 and 140,860

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Solution

The third proportional to 69,160 and 140,860 is: 286,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,160 : 140,860 = 140,860 : x
  2. Step 2: Convert to fraction form
    69,160/140,860 = 140,860/x
  3. Step 3: Cross multiply
    69,160x = 140,860 × 140,860
  4. Step 4: Simplify right side
    69,160x = 19,841,539,600
  5. Step 5: Solve for x
    x = 19,841,539,600/69,160
  6. Step 6: Final answer
    x = 286,893.29

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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.