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Finding the Third Proportional to 291,180 and 633,640

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Solution

The third proportional to 291,180 and 633,640 is: 1,378,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,180 : 633,640 = 633,640 : x
  2. Step 2: Convert to fraction form
    291,180/633,640 = 633,640/x
  3. Step 3: Cross multiply
    291,180x = 633,640 × 633,640
  4. Step 4: Simplify right side
    291,180x = 401,499,649,600
  5. Step 5: Solve for x
    x = 401,499,649,600/291,180
  6. Step 6: Final answer
    x = 1,378,870.97

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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.