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Finding the Third Proportional to 139,992 and 307,202

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Solution

The third proportional to 139,992 and 307,202 is: 674,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,992 : 307,202 = 307,202 : x
  2. Step 2: Convert to fraction form
    139,992/307,202 = 307,202/x
  3. Step 3: Cross multiply
    139,992x = 307,202 × 307,202
  4. Step 4: Simplify right side
    139,992x = 94,373,068,804
  5. Step 5: Solve for x
    x = 94,373,068,804/139,992
  6. Step 6: Final answer
    x = 674,131.87

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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.