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Finding the Third Proportional to 239,787 and 486,661.50

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Solution

The third proportional to 239,787 and 486,661.50 is: 987,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,787 : 486,661.50 = 486,661.50 : x
  2. Step 2: Convert to fraction form
    239,787/486,661.50 = 486,661.50/x
  3. Step 3: Cross multiply
    239,787x = 486,661.50 × 486,661.50
  4. Step 4: Simplify right side
    239,787x = 236,839,415,582.25
  5. Step 5: Solve for x
    x = 236,839,415,582.25/239,787
  6. Step 6: Final answer
    x = 987,707.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.