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Finding the Third Proportional to 90,807 and 179,295

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Solution

The third proportional to 90,807 and 179,295 is: 354,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,807 : 179,295 = 179,295 : x
  2. Step 2: Convert to fraction form
    90,807/179,295 = 179,295/x
  3. Step 3: Cross multiply
    90,807x = 179,295 × 179,295
  4. Step 4: Simplify right side
    90,807x = 32,146,697,025
  5. Step 5: Solve for x
    x = 32,146,697,025/90,807
  6. Step 6: Final answer
    x = 354,011.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.