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Finding the Third Proportional to 102,852 and 208,566

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Solution

The third proportional to 102,852 and 208,566 is: 422,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,852 : 208,566 = 208,566 : x
  2. Step 2: Convert to fraction form
    102,852/208,566 = 208,566/x
  3. Step 3: Cross multiply
    102,852x = 208,566 × 208,566
  4. Step 4: Simplify right side
    102,852x = 43,499,776,356
  5. Step 5: Solve for x
    x = 43,499,776,356/102,852
  6. Step 6: Final answer
    x = 422,935.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.