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Finding the Third Proportional to 65,702 and 140,140

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Solution

The third proportional to 65,702 and 140,140 is: 298,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,702 : 140,140 = 140,140 : x
  2. Step 2: Convert to fraction form
    65,702/140,140 = 140,140/x
  3. Step 3: Cross multiply
    65,702x = 140,140 × 140,140
  4. Step 4: Simplify right side
    65,702x = 19,639,219,600
  5. Step 5: Solve for x
    x = 19,639,219,600/65,702
  6. Step 6: Final answer
    x = 298,913.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.