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Finding the Third Proportional to 291,324 and 635,610

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Solution

The third proportional to 291,324 and 635,610 is: 1,386,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,324 : 635,610 = 635,610 : x
  2. Step 2: Convert to fraction form
    291,324/635,610 = 635,610/x
  3. Step 3: Cross multiply
    291,324x = 635,610 × 635,610
  4. Step 4: Simplify right side
    291,324x = 404,000,072,100
  5. Step 5: Solve for x
    x = 404,000,072,100/291,324
  6. Step 6: Final answer
    x = 1,386,772.36

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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.