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Finding the Third Proportional to 103,613 and 154,915

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Solution

The third proportional to 103,613 and 154,915 is: 231,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,613 : 154,915 = 154,915 : x
  2. Step 2: Convert to fraction form
    103,613/154,915 = 154,915/x
  3. Step 3: Cross multiply
    103,613x = 154,915 × 154,915
  4. Step 4: Simplify right side
    103,613x = 23,998,657,225
  5. Step 5: Solve for x
    x = 23,998,657,225/103,613
  6. Step 6: Final answer
    x = 231,618.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.