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Finding the Third Proportional to 403,821 and 633,564

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Solution

The third proportional to 403,821 and 633,564 is: 994,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,821 : 633,564 = 633,564 : x
  2. Step 2: Convert to fraction form
    403,821/633,564 = 633,564/x
  3. Step 3: Cross multiply
    403,821x = 633,564 × 633,564
  4. Step 4: Simplify right side
    403,821x = 401,403,342,096
  5. Step 5: Solve for x
    x = 401,403,342,096/403,821
  6. Step 6: Final answer
    x = 994,013.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.