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Finding the Third Proportional to 103,693 and 155,936

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Solution

The third proportional to 103,693 and 155,936 is: 234,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693 : 155,936 = 155,936 : x
  2. Step 2: Convert to fraction form
    103,693/155,936 = 155,936/x
  3. Step 3: Cross multiply
    103,693x = 155,936 × 155,936
  4. Step 4: Simplify right side
    103,693x = 24,316,036,096
  5. Step 5: Solve for x
    x = 24,316,036,096/103,693
  6. Step 6: Final answer
    x = 234,500.27

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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.