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Finding the Third Proportional to 138,214.50 and 211,690

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Solution

The third proportional to 138,214.50 and 211,690 is: 324,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,214.50 : 211,690 = 211,690 : x
  2. Step 2: Convert to fraction form
    138,214.50/211,690 = 211,690/x
  3. Step 3: Cross multiply
    138,214.50x = 211,690 × 211,690
  4. Step 4: Simplify right side
    138,214.50x = 44,812,656,100
  5. Step 5: Solve for x
    x = 44,812,656,100/138,214.50
  6. Step 6: Final answer
    x = 324,225.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.