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Finding the Third Proportional to 89,345 and 191,645

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Solution

The third proportional to 89,345 and 191,645 is: 411,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,345 : 191,645 = 191,645 : x
  2. Step 2: Convert to fraction form
    89,345/191,645 = 191,645/x
  3. Step 3: Cross multiply
    89,345x = 191,645 × 191,645
  4. Step 4: Simplify right side
    89,345x = 36,727,806,025
  5. Step 5: Solve for x
    x = 36,727,806,025/89,345
  6. Step 6: Final answer
    x = 411,078.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.