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Finding the Third Proportional to 86,220 and 133,021.50

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Solution

The third proportional to 86,220 and 133,021.50 is: 205,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,220 : 133,021.50 = 133,021.50 : x
  2. Step 2: Convert to fraction form
    86,220/133,021.50 = 133,021.50/x
  3. Step 3: Cross multiply
    86,220x = 133,021.50 × 133,021.50
  4. Step 4: Simplify right side
    86,220x = 17,694,719,462.25
  5. Step 5: Solve for x
    x = 17,694,719,462.25/86,220
  6. Step 6: Final answer
    x = 205,227.55

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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.