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Finding the Third Proportional to 30,816 and 67,643

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Solution

The third proportional to 30,816 and 67,643 is: 148,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 67,643 = 67,643 : x
  2. Step 2: Convert to fraction form
    30,816/67,643 = 67,643/x
  3. Step 3: Cross multiply
    30,816x = 67,643 × 67,643
  4. Step 4: Simplify right side
    30,816x = 4,575,575,449
  5. Step 5: Solve for x
    x = 4,575,575,449/30,816
  6. Step 6: Final answer
    x = 148,480.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.