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Finding the Third Proportional to 86,218 and 133,810

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Solution

The third proportional to 86,218 and 133,810 is: 207,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,218 : 133,810 = 133,810 : x
  2. Step 2: Convert to fraction form
    86,218/133,810 = 133,810/x
  3. Step 3: Cross multiply
    86,218x = 133,810 × 133,810
  4. Step 4: Simplify right side
    86,218x = 17,905,116,100
  5. Step 5: Solve for x
    x = 17,905,116,100/86,218
  6. Step 6: Final answer
    x = 207,672.60

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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.