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Finding the Third Proportional to 86,341.50 and 133,205.25

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Solution

The third proportional to 86,341.50 and 133,205.25 is: 205,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,341.50 : 133,205.25 = 133,205.25 : x
  2. Step 2: Convert to fraction form
    86,341.50/133,205.25 = 133,205.25/x
  3. Step 3: Cross multiply
    86,341.50x = 133,205.25 × 133,205.25
  4. Step 4: Simplify right side
    86,341.50x = 17,743,638,627.56
  5. Step 5: Solve for x
    x = 17,743,638,627.56/86,341.50
  6. Step 6: Final answer
    x = 205,505.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.