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Finding the Third Proportional to 90,812.81 and 141,738.19

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Solution

The third proportional to 90,812.81 and 141,738.19 is: 221,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,812.81 : 141,738.19 = 141,738.19 : x
  2. Step 2: Convert to fraction form
    90,812.81/141,738.19 = 141,738.19/x
  3. Step 3: Cross multiply
    90,812.81x = 141,738.19 × 141,738.19
  4. Step 4: Simplify right side
    90,812.81x = 20,089,713,795.79
  5. Step 5: Solve for x
    x = 20,089,713,795.79/90,812.81
  6. Step 6: Final answer
    x = 221,221.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.