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Finding the Third Proportional to 30,970.75 and 66,314

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Solution

The third proportional to 30,970.75 and 66,314 is: 141,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.75 : 66,314 = 66,314 : x
  2. Step 2: Convert to fraction form
    30,970.75/66,314 = 66,314/x
  3. Step 3: Cross multiply
    30,970.75x = 66,314 × 66,314
  4. Step 4: Simplify right side
    30,970.75x = 4,397,546,596
  5. Step 5: Solve for x
    x = 4,397,546,596/30,970.75
  6. Step 6: Final answer
    x = 141,990.32

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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.