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Finding the Third Proportional to 139,516 and 202,469

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Solution

The third proportional to 139,516 and 202,469 is: 293,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,516 : 202,469 = 202,469 : x
  2. Step 2: Convert to fraction form
    139,516/202,469 = 202,469/x
  3. Step 3: Cross multiply
    139,516x = 202,469 × 202,469
  4. Step 4: Simplify right side
    139,516x = 40,993,695,961
  5. Step 5: Solve for x
    x = 40,993,695,961/139,516
  6. Step 6: Final answer
    x = 293,827.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.