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Finding the Third Proportional to 135,808.25 and 214,998.50

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Solution

The third proportional to 135,808.25 and 214,998.50 is: 340,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,808.25 : 214,998.50 = 214,998.50 : x
  2. Step 2: Convert to fraction form
    135,808.25/214,998.50 = 214,998.50/x
  3. Step 3: Cross multiply
    135,808.25x = 214,998.50 × 214,998.50
  4. Step 4: Simplify right side
    135,808.25x = 46,224,355,002.25
  5. Step 5: Solve for x
    x = 46,224,355,002.25/135,808.25
  6. Step 6: Final answer
    x = 340,364.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.