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Finding the Third Proportional to 291,170 and 633,620

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Solution

The third proportional to 291,170 and 633,620 is: 1,378,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,170 : 633,620 = 633,620 : x
  2. Step 2: Convert to fraction form
    291,170/633,620 = 633,620/x
  3. Step 3: Cross multiply
    291,170x = 633,620 × 633,620
  4. Step 4: Simplify right side
    291,170x = 401,474,304,400
  5. Step 5: Solve for x
    x = 401,474,304,400/291,170
  6. Step 6: Final answer
    x = 1,378,831.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.