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Finding the Third Proportional to 30,969 and 66,312

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Solution

The third proportional to 30,969 and 66,312 is: 141,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969 : 66,312 = 66,312 : x
  2. Step 2: Convert to fraction form
    30,969/66,312 = 66,312/x
  3. Step 3: Cross multiply
    30,969x = 66,312 × 66,312
  4. Step 4: Simplify right side
    30,969x = 4,397,281,344
  5. Step 5: Solve for x
    x = 4,397,281,344/30,969
  6. Step 6: Final answer
    x = 141,989.78

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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.