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Finding the Third Proportional to 30,944 and 65,416

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Solution

The third proportional to 30,944 and 65,416 is: 138,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944 : 65,416 = 65,416 : x
  2. Step 2: Convert to fraction form
    30,944/65,416 = 65,416/x
  3. Step 3: Cross multiply
    30,944x = 65,416 × 65,416
  4. Step 4: Simplify right side
    30,944x = 4,279,253,056
  5. Step 5: Solve for x
    x = 4,279,253,056/30,944
  6. Step 6: Final answer
    x = 138,290.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.