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Finding the Third Proportional to 64,563 and 139,845

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Solution

The third proportional to 64,563 and 139,845 is: 302,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,563 : 139,845 = 139,845 : x
  2. Step 2: Convert to fraction form
    64,563/139,845 = 139,845/x
  3. Step 3: Cross multiply
    64,563x = 139,845 × 139,845
  4. Step 4: Simplify right side
    64,563x = 19,556,624,025
  5. Step 5: Solve for x
    x = 19,556,624,025/64,563
  6. Step 6: Final answer
    x = 302,907.61

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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.