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Finding the Third Proportional to 83,583 and 174,057

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Solution

The third proportional to 83,583 and 174,057 is: 362,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583 : 174,057 = 174,057 : x
  2. Step 2: Convert to fraction form
    83,583/174,057 = 174,057/x
  3. Step 3: Cross multiply
    83,583x = 174,057 × 174,057
  4. Step 4: Simplify right side
    83,583x = 30,295,839,249
  5. Step 5: Solve for x
    x = 30,295,839,249/83,583
  6. Step 6: Final answer
    x = 362,464.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.