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Finding the Third Proportional to 90,583 and 196,748

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Solution

The third proportional to 90,583 and 196,748 is: 427,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,583 : 196,748 = 196,748 : x
  2. Step 2: Convert to fraction form
    90,583/196,748 = 196,748/x
  3. Step 3: Cross multiply
    90,583x = 196,748 × 196,748
  4. Step 4: Simplify right side
    90,583x = 38,709,775,504
  5. Step 5: Solve for x
    x = 38,709,775,504/90,583
  6. Step 6: Final answer
    x = 427,340.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.