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Finding the Third Proportional to 30,482 and 66,660

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Solution

The third proportional to 30,482 and 66,660 is: 145,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482 : 66,660 = 66,660 : x
  2. Step 2: Convert to fraction form
    30,482/66,660 = 66,660/x
  3. Step 3: Cross multiply
    30,482x = 66,660 × 66,660
  4. Step 4: Simplify right side
    30,482x = 4,443,555,600
  5. Step 5: Solve for x
    x = 4,443,555,600/30,482
  6. Step 6: Final answer
    x = 145,776.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.