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Finding the Third Proportional to 86,383 and 133,264.50

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Solution

The third proportional to 86,383 and 133,264.50 is: 205,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,383 : 133,264.50 = 133,264.50 : x
  2. Step 2: Convert to fraction form
    86,383/133,264.50 = 133,264.50/x
  3. Step 3: Cross multiply
    86,383x = 133,264.50 × 133,264.50
  4. Step 4: Simplify right side
    86,383x = 17,759,426,960.25
  5. Step 5: Solve for x
    x = 17,759,426,960.25/86,383
  6. Step 6: Final answer
    x = 205,589.37

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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.