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Finding the Third Proportional to 64,282 and 139,621

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Solution

The third proportional to 64,282 and 139,621 is: 303,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,282 : 139,621 = 139,621 : x
  2. Step 2: Convert to fraction form
    64,282/139,621 = 139,621/x
  3. Step 3: Cross multiply
    64,282x = 139,621 × 139,621
  4. Step 4: Simplify right side
    64,282x = 19,494,023,641
  5. Step 5: Solve for x
    x = 19,494,023,641/64,282
  6. Step 6: Final answer
    x = 303,257.89

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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.