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Finding the Third Proportional to 64,817 and 139,750

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Solution

The third proportional to 64,817 and 139,750 is: 301,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,817 : 139,750 = 139,750 : x
  2. Step 2: Convert to fraction form
    64,817/139,750 = 139,750/x
  3. Step 3: Cross multiply
    64,817x = 139,750 × 139,750
  4. Step 4: Simplify right side
    64,817x = 19,530,062,500
  5. Step 5: Solve for x
    x = 19,530,062,500/64,817
  6. Step 6: Final answer
    x = 301,310.81

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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.