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Finding the Third Proportional to 103,626 and 155,440.13

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Solution

The third proportional to 103,626 and 155,440.13 is: 233,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,626 : 155,440.13 = 155,440.13 : x
  2. Step 2: Convert to fraction form
    103,626/155,440.13 = 155,440.13/x
  3. Step 3: Cross multiply
    103,626x = 155,440.13 × 155,440.13
  4. Step 4: Simplify right side
    103,626x = 24,161,632,460.02
  5. Step 5: Solve for x
    x = 24,161,632,460.02/103,626
  6. Step 6: Final answer
    x = 233,161.88

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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.