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Finding the Third Proportional to 64,803.38 and 134,781.19

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Solution

The third proportional to 64,803.38 and 134,781.19 is: 280,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,803.38 : 134,781.19 = 134,781.19 : x
  2. Step 2: Convert to fraction form
    64,803.38/134,781.19 = 134,781.19/x
  3. Step 3: Cross multiply
    64,803.38x = 134,781.19 × 134,781.19
  4. Step 4: Simplify right side
    64,803.38x = 18,165,968,503.91
  5. Step 5: Solve for x
    x = 18,165,968,503.91/64,803.38
  6. Step 6: Final answer
    x = 280,324.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.