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Finding the Third Proportional to 133,987.13 and 213,280.69

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Solution

The third proportional to 133,987.13 and 213,280.69 is: 339,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,987.13 : 213,280.69 = 213,280.69 : x
  2. Step 2: Convert to fraction form
    133,987.13/213,280.69 = 213,280.69/x
  3. Step 3: Cross multiply
    133,987.13x = 213,280.69 × 213,280.69
  4. Step 4: Simplify right side
    133,987.13x = 45,488,651,660.47
  5. Step 5: Solve for x
    x = 45,488,651,660.47/133,987.13
  6. Step 6: Final answer
    x = 339,500.17

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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.