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Finding the Third Proportional to 133,986.75 and 213,280.13

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Solution

The third proportional to 133,986.75 and 213,280.13 is: 339,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986.75 : 213,280.13 = 213,280.13 : x
  2. Step 2: Convert to fraction form
    133,986.75/213,280.13 = 213,280.13/x
  3. Step 3: Cross multiply
    133,986.75x = 213,280.13 × 213,280.13
  4. Step 4: Simplify right side
    133,986.75x = 45,488,411,720.02
  5. Step 5: Solve for x
    x = 45,488,411,720.02/133,986.75
  6. Step 6: Final answer
    x = 339,499.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.