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Finding the Third Proportional to 100,329.50 and 165,410.50

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Solution

The third proportional to 100,329.50 and 165,410.50 is: 272,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,329.50 : 165,410.50 = 165,410.50 : x
  2. Step 2: Convert to fraction form
    100,329.50/165,410.50 = 165,410.50/x
  3. Step 3: Cross multiply
    100,329.50x = 165,410.50 × 165,410.50
  4. Step 4: Simplify right side
    100,329.50x = 27,360,633,510.25
  5. Step 5: Solve for x
    x = 27,360,633,510.25/100,329.50
  6. Step 6: Final answer
    x = 272,707.76

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.