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Finding the Third Proportional to 65,856 and 94,109

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Solution

The third proportional to 65,856 and 94,109 is: 134,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,856 : 94,109 = 94,109 : x
  2. Step 2: Convert to fraction form
    65,856/94,109 = 94,109/x
  3. Step 3: Cross multiply
    65,856x = 94,109 × 94,109
  4. Step 4: Simplify right side
    65,856x = 8,856,503,881
  5. Step 5: Solve for x
    x = 8,856,503,881/65,856
  6. Step 6: Final answer
    x = 134,482.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.