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Finding the Third Proportional to 64,768 and 140,288

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Solution

The third proportional to 64,768 and 140,288 is: 303,864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,768 : 140,288 = 140,288 : x
  2. Step 2: Convert to fraction form
    64,768/140,288 = 140,288/x
  3. Step 3: Cross multiply
    64,768x = 140,288 × 140,288
  4. Step 4: Simplify right side
    64,768x = 19,680,722,944
  5. Step 5: Solve for x
    x = 19,680,722,944/64,768
  6. Step 6: Final answer
    x = 303,864.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.