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Finding the Third Proportional to 89,516 and 197,660

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Solution

The third proportional to 89,516 and 197,660 is: 436,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,516 : 197,660 = 197,660 : x
  2. Step 2: Convert to fraction form
    89,516/197,660 = 197,660/x
  3. Step 3: Cross multiply
    89,516x = 197,660 × 197,660
  4. Step 4: Simplify right side
    89,516x = 39,069,475,600
  5. Step 5: Solve for x
    x = 39,069,475,600/89,516
  6. Step 6: Final answer
    x = 436,452.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.