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Finding the Third Proportional to 30,174.94 and 66,257.06

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Solution

The third proportional to 30,174.94 and 66,257.06 is: 145,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,174.94 : 66,257.06 = 66,257.06 : x
  2. Step 2: Convert to fraction form
    30,174.94/66,257.06 = 66,257.06/x
  3. Step 3: Cross multiply
    30,174.94x = 66,257.06 × 66,257.06
  4. Step 4: Simplify right side
    30,174.94x = 4,389,998,331.13
  5. Step 5: Solve for x
    x = 4,389,998,331.13/30,174.94
  6. Step 6: Final answer
    x = 145,484.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.