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Finding the Third Proportional to 206,401.50 and 431,527.50

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Solution

The third proportional to 206,401.50 and 431,527.50 is: 902,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,401.50 : 431,527.50 = 431,527.50 : x
  2. Step 2: Convert to fraction form
    206,401.50/431,527.50 = 431,527.50/x
  3. Step 3: Cross multiply
    206,401.50x = 431,527.50 × 431,527.50
  4. Step 4: Simplify right side
    206,401.50x = 186,215,983,256.25
  5. Step 5: Solve for x
    x = 186,215,983,256.25/206,401.50
  6. Step 6: Final answer
    x = 902,202.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.