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Finding the Third Proportional to 86,377.50 and 133,256.25

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Solution

The third proportional to 86,377.50 and 133,256.25 is: 205,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,377.50 : 133,256.25 = 133,256.25 : x
  2. Step 2: Convert to fraction form
    86,377.50/133,256.25 = 133,256.25/x
  3. Step 3: Cross multiply
    86,377.50x = 133,256.25 × 133,256.25
  4. Step 4: Simplify right side
    86,377.50x = 17,757,228,164.06
  5. Step 5: Solve for x
    x = 17,757,228,164.06/86,377.50
  6. Step 6: Final answer
    x = 205,577.01

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