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Finding the Third Proportional to 138,334.87 and 207,630.69

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Solution

The third proportional to 138,334.87 and 207,630.69 is: 311,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,334.87 : 207,630.69 = 207,630.69 : x
  2. Step 2: Convert to fraction form
    138,334.87/207,630.69 = 207,630.69/x
  3. Step 3: Cross multiply
    138,334.87x = 207,630.69 × 207,630.69
  4. Step 4: Simplify right side
    138,334.87x = 43,110,501,580.67
  5. Step 5: Solve for x
    x = 43,110,501,580.67/138,334.87
  6. Step 6: Final answer
    x = 311,638.72

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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.