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Finding the Third Proportional to 403,820 and 633,563

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Solution

The third proportional to 403,820 and 633,563 is: 994,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,820 : 633,563 = 633,563 : x
  2. Step 2: Convert to fraction form
    403,820/633,563 = 633,563/x
  3. Step 3: Cross multiply
    403,820x = 633,563 × 633,563
  4. Step 4: Simplify right side
    403,820x = 401,402,074,969
  5. Step 5: Solve for x
    x = 401,402,074,969/403,820
  6. Step 6: Final answer
    x = 994,012.37

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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.