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Finding the Third Proportional to 91,345 and 136,645

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Solution

The third proportional to 91,345 and 136,645 is: 204,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,345 : 136,645 = 136,645 : x
  2. Step 2: Convert to fraction form
    91,345/136,645 = 136,645/x
  3. Step 3: Cross multiply
    91,345x = 136,645 × 136,645
  4. Step 4: Simplify right side
    91,345x = 18,671,856,025
  5. Step 5: Solve for x
    x = 18,671,856,025/91,345
  6. Step 6: Final answer
    x = 204,410.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.