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Finding the Third Proportional to 136,168.50 and 209,995.50

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Solution

The third proportional to 136,168.50 and 209,995.50 is: 323,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,168.50 : 209,995.50 = 209,995.50 : x
  2. Step 2: Convert to fraction form
    136,168.50/209,995.50 = 209,995.50/x
  3. Step 3: Cross multiply
    136,168.50x = 209,995.50 × 209,995.50
  4. Step 4: Simplify right side
    136,168.50x = 44,098,110,020.25
  5. Step 5: Solve for x
    x = 44,098,110,020.25/136,168.50
  6. Step 6: Final answer
    x = 323,849.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.