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Finding the Third Proportional to 165,189.75 and 360,721.50

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Solution

The third proportional to 165,189.75 and 360,721.50 is: 787,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,189.75 : 360,721.50 = 360,721.50 : x
  2. Step 2: Convert to fraction form
    165,189.75/360,721.50 = 360,721.50/x
  3. Step 3: Cross multiply
    165,189.75x = 360,721.50 × 360,721.50
  4. Step 4: Simplify right side
    165,189.75x = 130,120,000,562.25
  5. Step 5: Solve for x
    x = 130,120,000,562.25/165,189.75
  6. Step 6: Final answer
    x = 787,700.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.