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Finding the Third Proportional to 96,135 and 143,416.50

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Solution

The third proportional to 96,135 and 143,416.50 is: 213,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,135 : 143,416.50 = 143,416.50 : x
  2. Step 2: Convert to fraction form
    96,135/143,416.50 = 143,416.50/x
  3. Step 3: Cross multiply
    96,135x = 143,416.50 × 143,416.50
  4. Step 4: Simplify right side
    96,135x = 20,568,292,472.25
  5. Step 5: Solve for x
    x = 20,568,292,472.25/96,135
  6. Step 6: Final answer
    x = 213,952.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.