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Finding the Third Proportional to 135,338 and 291,412

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Solution

The third proportional to 135,338 and 291,412 is: 627,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,338 : 291,412 = 291,412 : x
  2. Step 2: Convert to fraction form
    135,338/291,412 = 291,412/x
  3. Step 3: Cross multiply
    135,338x = 291,412 × 291,412
  4. Step 4: Simplify right side
    135,338x = 84,920,953,744
  5. Step 5: Solve for x
    x = 84,920,953,744/135,338
  6. Step 6: Final answer
    x = 627,473.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.