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Finding the Third Proportional to 288,556.69 and 431,220.56

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Solution

The third proportional to 288,556.69 and 431,220.56 is: 644,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,556.69 : 431,220.56 = 431,220.56 : x
  2. Step 2: Convert to fraction form
    288,556.69/431,220.56 = 431,220.56/x
  3. Step 3: Cross multiply
    288,556.69x = 431,220.56 × 431,220.56
  4. Step 4: Simplify right side
    288,556.69x = 185,951,173,522.82
  5. Step 5: Solve for x
    x = 185,951,173,522.82/288,556.69
  6. Step 6: Final answer
    x = 644,418.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.