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Finding the Third Proportional to 426,598 and 639,243

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Solution

The third proportional to 426,598 and 639,243 is: 957,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,598 : 639,243 = 639,243 : x
  2. Step 2: Convert to fraction form
    426,598/639,243 = 639,243/x
  3. Step 3: Cross multiply
    426,598x = 639,243 × 639,243
  4. Step 4: Simplify right side
    426,598x = 408,631,613,049
  5. Step 5: Solve for x
    x = 408,631,613,049/426,598
  6. Step 6: Final answer
    x = 957,884.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.