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Finding the Third Proportional to 65,110.50 and 140,184

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Solution

The third proportional to 65,110.50 and 140,184 is: 301,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,110.50 : 140,184 = 140,184 : x
  2. Step 2: Convert to fraction form
    65,110.50/140,184 = 140,184/x
  3. Step 3: Cross multiply
    65,110.50x = 140,184 × 140,184
  4. Step 4: Simplify right side
    65,110.50x = 19,651,553,856
  5. Step 5: Solve for x
    x = 19,651,553,856/65,110.50
  6. Step 6: Final answer
    x = 301,818.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.