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Finding the Third Proportional to 633,318 and 991,449

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Solution

The third proportional to 633,318 and 991,449 is: 1,552,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,318 : 991,449 = 991,449 : x
  2. Step 2: Convert to fraction form
    633,318/991,449 = 991,449/x
  3. Step 3: Cross multiply
    633,318x = 991,449 × 991,449
  4. Step 4: Simplify right side
    633,318x = 982,971,119,601
  5. Step 5: Solve for x
    x = 982,971,119,601/633,318
  6. Step 6: Final answer
    x = 1,552,097.24

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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.