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Finding the Third Proportional to 65,828.25 and 128,372.63

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Solution

The third proportional to 65,828.25 and 128,372.63 is: 250,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,828.25 : 128,372.63 = 128,372.63 : x
  2. Step 2: Convert to fraction form
    65,828.25/128,372.63 = 128,372.63/x
  3. Step 3: Cross multiply
    65,828.25x = 128,372.63 × 128,372.63
  4. Step 4: Simplify right side
    65,828.25x = 16,479,530,849.39
  5. Step 5: Solve for x
    x = 16,479,530,849.39/65,828.25
  6. Step 6: Final answer
    x = 250,341.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.