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Finding the Third Proportional to 291,384 and 635,724

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Solution

The third proportional to 291,384 and 635,724 is: 1,386,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,384 : 635,724 = 635,724 : x
  2. Step 2: Convert to fraction form
    291,384/635,724 = 635,724/x
  3. Step 3: Cross multiply
    291,384x = 635,724 × 635,724
  4. Step 4: Simplify right side
    291,384x = 404,145,004,176
  5. Step 5: Solve for x
    x = 404,145,004,176/291,384
  6. Step 6: Final answer
    x = 1,386,984.20

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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.