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Finding the Third Proportional to 193,086 and 307,101

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Solution

The third proportional to 193,086 and 307,101 is: 488,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,086 : 307,101 = 307,101 : x
  2. Step 2: Convert to fraction form
    193,086/307,101 = 307,101/x
  3. Step 3: Cross multiply
    193,086x = 307,101 × 307,101
  4. Step 4: Simplify right side
    193,086x = 94,311,024,201
  5. Step 5: Solve for x
    x = 94,311,024,201/193,086
  6. Step 6: Final answer
    x = 488,440.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.