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Finding the Third Proportional to 98,474 and 216,660

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Solution

The third proportional to 98,474 and 216,660 is: 476,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,474 : 216,660 = 216,660 : x
  2. Step 2: Convert to fraction form
    98,474/216,660 = 216,660/x
  3. Step 3: Cross multiply
    98,474x = 216,660 × 216,660
  4. Step 4: Simplify right side
    98,474x = 46,941,555,600
  5. Step 5: Solve for x
    x = 46,941,555,600/98,474
  6. Step 6: Final answer
    x = 476,689.84

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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.