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Finding the Third Proportional to 86,333.34 and 133,190.58

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Solution

The third proportional to 86,333.34 and 133,190.58 is: 205,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,333.34 : 133,190.58 = 133,190.58 : x
  2. Step 2: Convert to fraction form
    86,333.34/133,190.58 = 133,190.58/x
  3. Step 3: Cross multiply
    86,333.34x = 133,190.58 × 133,190.58
  4. Step 4: Simplify right side
    86,333.34x = 17,739,730,101.27
  5. Step 5: Solve for x
    x = 17,739,730,101.27/86,333.34
  6. Step 6: Final answer
    x = 205,479.47

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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.