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Finding the Third Proportional to 93,503 and 140,242

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Solution

The third proportional to 93,503 and 140,242 is: 210,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,503 : 140,242 = 140,242 : x
  2. Step 2: Convert to fraction form
    93,503/140,242 = 140,242/x
  3. Step 3: Cross multiply
    93,503x = 140,242 × 140,242
  4. Step 4: Simplify right side
    93,503x = 19,667,818,564
  5. Step 5: Solve for x
    x = 19,667,818,564/93,503
  6. Step 6: Final answer
    x = 210,344.25

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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.