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Finding the Third Proportional to 64,951 and 139,247

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Solution

The third proportional to 64,951 and 139,247 is: 298,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,951 : 139,247 = 139,247 : x
  2. Step 2: Convert to fraction form
    64,951/139,247 = 139,247/x
  3. Step 3: Cross multiply
    64,951x = 139,247 × 139,247
  4. Step 4: Simplify right side
    64,951x = 19,389,727,009
  5. Step 5: Solve for x
    x = 19,389,727,009/64,951
  6. Step 6: Final answer
    x = 298,528.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.