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Finding the Third Proportional to 64,224 and 138,920

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Solution

The third proportional to 64,224 and 138,920 is: 300,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,224 : 138,920 = 138,920 : x
  2. Step 2: Convert to fraction form
    64,224/138,920 = 138,920/x
  3. Step 3: Cross multiply
    64,224x = 138,920 × 138,920
  4. Step 4: Simplify right side
    64,224x = 19,298,766,400
  5. Step 5: Solve for x
    x = 19,298,766,400/64,224
  6. Step 6: Final answer
    x = 300,491.50

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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.