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Finding the Third Proportional to 135,226.88 and 214,128.38

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Solution

The third proportional to 135,226.88 and 214,128.38 is: 339,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,226.88 : 214,128.38 = 214,128.38 : x
  2. Step 2: Convert to fraction form
    135,226.88/214,128.38 = 214,128.38/x
  3. Step 3: Cross multiply
    135,226.88x = 214,128.38 × 214,128.38
  4. Step 4: Simplify right side
    135,226.88x = 45,850,960,980.14
  5. Step 5: Solve for x
    x = 45,850,960,980.14/135,226.88
  6. Step 6: Final answer
    x = 339,066.93

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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.