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Finding the Third Proportional to 64,764 and 139,464

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Solution

The third proportional to 64,764 and 139,464 is: 300,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764 : 139,464 = 139,464 : x
  2. Step 2: Convert to fraction form
    64,764/139,464 = 139,464/x
  3. Step 3: Cross multiply
    64,764x = 139,464 × 139,464
  4. Step 4: Simplify right side
    64,764x = 19,450,207,296
  5. Step 5: Solve for x
    x = 19,450,207,296/64,764
  6. Step 6: Final answer
    x = 300,324.37

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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.