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Finding the Third Proportional to 64,873 and 139,744

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Solution

The third proportional to 64,873 and 139,744 is: 301,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,873 : 139,744 = 139,744 : x
  2. Step 2: Convert to fraction form
    64,873/139,744 = 139,744/x
  3. Step 3: Cross multiply
    64,873x = 139,744 × 139,744
  4. Step 4: Simplify right side
    64,873x = 19,528,385,536
  5. Step 5: Solve for x
    x = 19,528,385,536/64,873
  6. Step 6: Final answer
    x = 301,024.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.