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Finding the Third Proportional to 401,948 and 639,822

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Solution

The third proportional to 401,948 and 639,822 is: 1,018,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,948 : 639,822 = 639,822 : x
  2. Step 2: Convert to fraction form
    401,948/639,822 = 639,822/x
  3. Step 3: Cross multiply
    401,948x = 639,822 × 639,822
  4. Step 4: Simplify right side
    401,948x = 409,372,191,684
  5. Step 5: Solve for x
    x = 409,372,191,684/401,948
  6. Step 6: Final answer
    x = 1,018,470.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.