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Finding the Third Proportional to 139,516 and 302,212

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Solution

The third proportional to 139,516 and 302,212 is: 654,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,516 : 302,212 = 302,212 : x
  2. Step 2: Convert to fraction form
    139,516/302,212 = 302,212/x
  3. Step 3: Cross multiply
    139,516x = 302,212 × 302,212
  4. Step 4: Simplify right side
    139,516x = 91,332,092,944
  5. Step 5: Solve for x
    x = 91,332,092,944/139,516
  6. Step 6: Final answer
    x = 654,635.26

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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.