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Finding the Third Proportional to 165,172.50 and 360,315

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Solution

The third proportional to 165,172.50 and 360,315 is: 786,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,172.50 : 360,315 = 360,315 : x
  2. Step 2: Convert to fraction form
    165,172.50/360,315 = 360,315/x
  3. Step 3: Cross multiply
    165,172.50x = 360,315 × 360,315
  4. Step 4: Simplify right side
    165,172.50x = 129,826,899,225
  5. Step 5: Solve for x
    x = 129,826,899,225/165,172.50
  6. Step 6: Final answer
    x = 786,007.96

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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.