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Finding the Third Proportional to 96,540.75 and 202,315.50

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Solution

The third proportional to 96,540.75 and 202,315.50 is: 423,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,540.75 : 202,315.50 = 202,315.50 : x
  2. Step 2: Convert to fraction form
    96,540.75/202,315.50 = 202,315.50/x
  3. Step 3: Cross multiply
    96,540.75x = 202,315.50 × 202,315.50
  4. Step 4: Simplify right side
    96,540.75x = 40,931,561,540.25
  5. Step 5: Solve for x
    x = 40,931,561,540.25/96,540.75
  6. Step 6: Final answer
    x = 423,982.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.