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Finding the Third Proportional to 288,812.72 and 644,032.69

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Solution

The third proportional to 288,812.72 and 644,032.69 is: 1,436,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,812.72 : 644,032.69 = 644,032.69 : x
  2. Step 2: Convert to fraction form
    288,812.72/644,032.69 = 644,032.69/x
  3. Step 3: Cross multiply
    288,812.72x = 644,032.69 × 644,032.69
  4. Step 4: Simplify right side
    288,812.72x = 414,778,102,568.47
  5. Step 5: Solve for x
    x = 414,778,102,568.47/288,812.72
  6. Step 6: Final answer
    x = 1,436,149.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.