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Finding the Third Proportional to 138,219.75 and 202,763.25

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Solution

The third proportional to 138,219.75 and 202,763.25 is: 297,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,219.75 : 202,763.25 = 202,763.25 : x
  2. Step 2: Convert to fraction form
    138,219.75/202,763.25 = 202,763.25/x
  3. Step 3: Cross multiply
    138,219.75x = 202,763.25 × 202,763.25
  4. Step 4: Simplify right side
    138,219.75x = 41,112,935,550.56
  5. Step 5: Solve for x
    x = 41,112,935,550.56/138,219.75
  6. Step 6: Final answer
    x = 297,446.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.