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Finding the Third Proportional to 414,396 and 639,900

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Solution

The third proportional to 414,396 and 639,900 is: 988,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,396 : 639,900 = 639,900 : x
  2. Step 2: Convert to fraction form
    414,396/639,900 = 639,900/x
  3. Step 3: Cross multiply
    414,396x = 639,900 × 639,900
  4. Step 4: Simplify right side
    414,396x = 409,472,010,000
  5. Step 5: Solve for x
    x = 409,472,010,000/414,396
  6. Step 6: Final answer
    x = 988,117.67

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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.