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Finding the Third Proportional to 102,720.50 and 144,228.75

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Solution

The third proportional to 102,720.50 and 144,228.75 is: 202,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,720.50 : 144,228.75 = 144,228.75 : x
  2. Step 2: Convert to fraction form
    102,720.50/144,228.75 = 144,228.75/x
  3. Step 3: Cross multiply
    102,720.50x = 144,228.75 × 144,228.75
  4. Step 4: Simplify right side
    102,720.50x = 20,801,932,326.56
  5. Step 5: Solve for x
    x = 20,801,932,326.56/102,720.50
  6. Step 6: Final answer
    x = 202,510.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.