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Finding the Third Proportional to 135,429.50 and 291,671

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Solution

The third proportional to 135,429.50 and 291,671 is: 628,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,429.50 : 291,671 = 291,671 : x
  2. Step 2: Convert to fraction form
    135,429.50/291,671 = 291,671/x
  3. Step 3: Cross multiply
    135,429.50x = 291,671 × 291,671
  4. Step 4: Simplify right side
    135,429.50x = 85,071,972,241
  5. Step 5: Solve for x
    x = 85,071,972,241/135,429.50
  6. Step 6: Final answer
    x = 628,164.26

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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.