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Finding the Third Proportional to 102,791 and 140,037

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Solution

The third proportional to 102,791 and 140,037 is: 190,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,791 : 140,037 = 140,037 : x
  2. Step 2: Convert to fraction form
    102,791/140,037 = 140,037/x
  3. Step 3: Cross multiply
    102,791x = 140,037 × 140,037
  4. Step 4: Simplify right side
    102,791x = 19,610,361,369
  5. Step 5: Solve for x
    x = 19,610,361,369/102,791
  6. Step 6: Final answer
    x = 190,778.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.