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Finding the Third Proportional to 140,240 and 301,864

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Solution

The third proportional to 140,240 and 301,864 is: 649,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,240 : 301,864 = 301,864 : x
  2. Step 2: Convert to fraction form
    140,240/301,864 = 301,864/x
  3. Step 3: Cross multiply
    140,240x = 301,864 × 301,864
  4. Step 4: Simplify right side
    140,240x = 91,121,874,496
  5. Step 5: Solve for x
    x = 91,121,874,496/140,240
  6. Step 6: Final answer
    x = 649,756.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.