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Finding the Third Proportional to 139,720 and 303,751

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Solution

The third proportional to 139,720 and 303,751 is: 660,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,720 : 303,751 = 303,751 : x
  2. Step 2: Convert to fraction form
    139,720/303,751 = 303,751/x
  3. Step 3: Cross multiply
    139,720x = 303,751 × 303,751
  4. Step 4: Simplify right side
    139,720x = 92,264,670,001
  5. Step 5: Solve for x
    x = 92,264,670,001/139,720
  6. Step 6: Final answer
    x = 660,354.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.