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Finding the Third Proportional to 108,697 and 142,936

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Solution

The third proportional to 108,697 and 142,936 is: 187,960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,697 : 142,936 = 142,936 : x
  2. Step 2: Convert to fraction form
    108,697/142,936 = 142,936/x
  3. Step 3: Cross multiply
    108,697x = 142,936 × 142,936
  4. Step 4: Simplify right side
    108,697x = 20,430,700,096
  5. Step 5: Solve for x
    x = 20,430,700,096/108,697
  6. Step 6: Final answer
    x = 187,960.11

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.