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Finding the Third Proportional to 30,903.19 and 66,178.69

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Solution

The third proportional to 30,903.19 and 66,178.69 is: 141,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903.19 : 66,178.69 = 66,178.69 : x
  2. Step 2: Convert to fraction form
    30,903.19/66,178.69 = 66,178.69/x
  3. Step 3: Cross multiply
    30,903.19x = 66,178.69 × 66,178.69
  4. Step 4: Simplify right side
    30,903.19x = 4,379,618,679.22
  5. Step 5: Solve for x
    x = 4,379,618,679.22/30,903.19
  6. Step 6: Final answer
    x = 141,720.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.