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Finding the Third Proportional to 64,707.75 and 140,805

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Solution

The third proportional to 64,707.75 and 140,805 is: 306,393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,707.75 : 140,805 = 140,805 : x
  2. Step 2: Convert to fraction form
    64,707.75/140,805 = 140,805/x
  3. Step 3: Cross multiply
    64,707.75x = 140,805 × 140,805
  4. Step 4: Simplify right side
    64,707.75x = 19,826,048,025
  5. Step 5: Solve for x
    x = 19,826,048,025/64,707.75
  6. Step 6: Final answer
    x = 306,393.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.