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Finding the Third Proportional to 30,642.05 and 66,373.17

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Solution

The third proportional to 30,642.05 and 66,373.17 is: 143,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.05 : 66,373.17 = 66,373.17 : x
  2. Step 2: Convert to fraction form
    30,642.05/66,373.17 = 66,373.17/x
  3. Step 3: Cross multiply
    30,642.05x = 66,373.17 × 66,373.17
  4. Step 4: Simplify right side
    30,642.05x = 4,405,397,944.75
  5. Step 5: Solve for x
    x = 4,405,397,944.75/30,642.05
  6. Step 6: Final answer
    x = 143,769.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.