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Finding the Third Proportional to 135,076.50 and 291,105

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Solution

The third proportional to 135,076.50 and 291,105 is: 627,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,076.50 : 291,105 = 291,105 : x
  2. Step 2: Convert to fraction form
    135,076.50/291,105 = 291,105/x
  3. Step 3: Cross multiply
    135,076.50x = 291,105 × 291,105
  4. Step 4: Simplify right side
    135,076.50x = 84,742,121,025
  5. Step 5: Solve for x
    x = 84,742,121,025/135,076.50
  6. Step 6: Final answer
    x = 627,363.91

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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.