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Finding the Third Proportional to 139,487 and 202,750

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Solution

The third proportional to 139,487 and 202,750 is: 294,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,487 : 202,750 = 202,750 : x
  2. Step 2: Convert to fraction form
    139,487/202,750 = 202,750/x
  3. Step 3: Cross multiply
    139,487x = 202,750 × 202,750
  4. Step 4: Simplify right side
    139,487x = 41,107,562,500
  5. Step 5: Solve for x
    x = 41,107,562,500/139,487
  6. Step 6: Final answer
    x = 294,705.33

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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.