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Finding the Third Proportional to 86,511.50 and 116,401.50

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Solution

The third proportional to 86,511.50 and 116,401.50 is: 156,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,511.50 : 116,401.50 = 116,401.50 : x
  2. Step 2: Convert to fraction form
    86,511.50/116,401.50 = 116,401.50/x
  3. Step 3: Cross multiply
    86,511.50x = 116,401.50 × 116,401.50
  4. Step 4: Simplify right side
    86,511.50x = 13,549,309,202.25
  5. Step 5: Solve for x
    x = 13,549,309,202.25/86,511.50
  6. Step 6: Final answer
    x = 156,618.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.