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Finding the Third Proportional to 291,624 and 638,112

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Solution

The third proportional to 291,624 and 638,112 is: 1,396,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,624 : 638,112 = 638,112 : x
  2. Step 2: Convert to fraction form
    291,624/638,112 = 638,112/x
  3. Step 3: Cross multiply
    291,624x = 638,112 × 638,112
  4. Step 4: Simplify right side
    291,624x = 407,186,924,544
  5. Step 5: Solve for x
    x = 407,186,924,544/291,624
  6. Step 6: Final answer
    x = 1,396,273.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.