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Finding the Third Proportional to 30,915 and 66,771

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Solution

The third proportional to 30,915 and 66,771 is: 144,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,915 : 66,771 = 66,771 : x
  2. Step 2: Convert to fraction form
    30,915/66,771 = 66,771/x
  3. Step 3: Cross multiply
    30,915x = 66,771 × 66,771
  4. Step 4: Simplify right side
    30,915x = 4,458,366,441
  5. Step 5: Solve for x
    x = 4,458,366,441/30,915
  6. Step 6: Final answer
    x = 144,213.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.