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Finding the Third Proportional to 414,301 and 639,767

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Solution

The third proportional to 414,301 and 639,767 is: 987,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,301 : 639,767 = 639,767 : x
  2. Step 2: Convert to fraction form
    414,301/639,767 = 639,767/x
  3. Step 3: Cross multiply
    414,301x = 639,767 × 639,767
  4. Step 4: Simplify right side
    414,301x = 409,301,814,289
  5. Step 5: Solve for x
    x = 409,301,814,289/414,301
  6. Step 6: Final answer
    x = 987,933.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.