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Finding the Third Proportional to 86,535 and 131,044.50

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Solution

The third proportional to 86,535 and 131,044.50 is: 198,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,535 : 131,044.50 = 131,044.50 : x
  2. Step 2: Convert to fraction form
    86,535/131,044.50 = 131,044.50/x
  3. Step 3: Cross multiply
    86,535x = 131,044.50 × 131,044.50
  4. Step 4: Simplify right side
    86,535x = 17,172,660,980.25
  5. Step 5: Solve for x
    x = 17,172,660,980.25/86,535
  6. Step 6: Final answer
    x = 198,447.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.