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Finding the Third Proportional to 93,253 and 139,847

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Solution

The third proportional to 93,253 and 139,847 is: 209,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,253 : 139,847 = 139,847 : x
  2. Step 2: Convert to fraction form
    93,253/139,847 = 139,847/x
  3. Step 3: Cross multiply
    93,253x = 139,847 × 139,847
  4. Step 4: Simplify right side
    93,253x = 19,557,183,409
  5. Step 5: Solve for x
    x = 19,557,183,409/93,253
  6. Step 6: Final answer
    x = 209,721.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.