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Finding the Third Proportional to 135,492.75 and 209,668.50

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Solution

The third proportional to 135,492.75 and 209,668.50 is: 324,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,492.75 : 209,668.50 = 209,668.50 : x
  2. Step 2: Convert to fraction form
    135,492.75/209,668.50 = 209,668.50/x
  3. Step 3: Cross multiply
    135,492.75x = 209,668.50 × 209,668.50
  4. Step 4: Simplify right side
    135,492.75x = 43,960,879,892.25
  5. Step 5: Solve for x
    x = 43,960,879,892.25/135,492.75
  6. Step 6: Final answer
    x = 324,451.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.