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Finding the Third Proportional to 133,081.50 and 211,643.25

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Solution

The third proportional to 133,081.50 and 211,643.25 is: 336,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,081.50 : 211,643.25 = 211,643.25 : x
  2. Step 2: Convert to fraction form
    133,081.50/211,643.25 = 211,643.25/x
  3. Step 3: Cross multiply
    133,081.50x = 211,643.25 × 211,643.25
  4. Step 4: Simplify right side
    133,081.50x = 44,792,865,270.56
  5. Step 5: Solve for x
    x = 44,792,865,270.56/133,081.50
  6. Step 6: Final answer
    x = 336,582.21

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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.