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Finding the Third Proportional to 139,587 and 305,250

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Solution

The third proportional to 139,587 and 305,250 is: 667,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,587 : 305,250 = 305,250 : x
  2. Step 2: Convert to fraction form
    139,587/305,250 = 305,250/x
  3. Step 3: Cross multiply
    139,587x = 305,250 × 305,250
  4. Step 4: Simplify right side
    139,587x = 93,177,562,500
  5. Step 5: Solve for x
    x = 93,177,562,500/139,587
  6. Step 6: Final answer
    x = 667,523.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.