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Finding the Third Proportional to 96,223.50 and 144,384.75

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Solution

The third proportional to 96,223.50 and 144,384.75 is: 216,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,223.50 : 144,384.75 = 144,384.75 : x
  2. Step 2: Convert to fraction form
    96,223.50/144,384.75 = 144,384.75/x
  3. Step 3: Cross multiply
    96,223.50x = 144,384.75 × 144,384.75
  4. Step 4: Simplify right side
    96,223.50x = 20,846,956,032.56
  5. Step 5: Solve for x
    x = 20,846,956,032.56/96,223.50
  6. Step 6: Final answer
    x = 216,651.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.