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Finding the Third Proportional to 403,919 and 633,765

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Solution

The third proportional to 403,919 and 633,765 is: 994,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,919 : 633,765 = 633,765 : x
  2. Step 2: Convert to fraction form
    403,919/633,765 = 633,765/x
  3. Step 3: Cross multiply
    403,919x = 633,765 × 633,765
  4. Step 4: Simplify right side
    403,919x = 401,658,075,225
  5. Step 5: Solve for x
    x = 401,658,075,225/403,919
  6. Step 6: Final answer
    x = 994,402.53

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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.