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Finding the Third Proportional to 64,554 and 139,305

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Solution

The third proportional to 64,554 and 139,305 is: 300,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,554 : 139,305 = 139,305 : x
  2. Step 2: Convert to fraction form
    64,554/139,305 = 139,305/x
  3. Step 3: Cross multiply
    64,554x = 139,305 × 139,305
  4. Step 4: Simplify right side
    64,554x = 19,405,883,025
  5. Step 5: Solve for x
    x = 19,405,883,025/64,554
  6. Step 6: Final answer
    x = 300,614.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.