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Finding the Third Proportional to 86,220 and 133,813

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Solution

The third proportional to 86,220 and 133,813 is: 207,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,220 : 133,813 = 133,813 : x
  2. Step 2: Convert to fraction form
    86,220/133,813 = 133,813/x
  3. Step 3: Cross multiply
    86,220x = 133,813 × 133,813
  4. Step 4: Simplify right side
    86,220x = 17,905,918,969
  5. Step 5: Solve for x
    x = 17,905,918,969/86,220
  6. Step 6: Final answer
    x = 207,677.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.