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Finding the Third Proportional to 137,792.39 and 206,688.59

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Solution

The third proportional to 137,792.39 and 206,688.59 is: 310,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,792.39 : 206,688.59 = 206,688.59 : x
  2. Step 2: Convert to fraction form
    137,792.39/206,688.59 = 206,688.59/x
  3. Step 3: Cross multiply
    137,792.39x = 206,688.59 × 206,688.59
  4. Step 4: Simplify right side
    137,792.39x = 42,720,171,556.84
  5. Step 5: Solve for x
    x = 42,720,171,556.84/137,792.39
  6. Step 6: Final answer
    x = 310,032.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.