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Finding the Third Proportional to 135,069 and 291,087

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Solution

The third proportional to 135,069 and 291,087 is: 627,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,069 : 291,087 = 291,087 : x
  2. Step 2: Convert to fraction form
    135,069/291,087 = 291,087/x
  3. Step 3: Cross multiply
    135,069x = 291,087 × 291,087
  4. Step 4: Simplify right side
    135,069x = 84,731,641,569
  5. Step 5: Solve for x
    x = 84,731,641,569/135,069
  6. Step 6: Final answer
    x = 627,321.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.