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Finding the Third Proportional to 90,319 and 120,655

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Solution

The third proportional to 90,319 and 120,655 is: 161,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,319 : 120,655 = 120,655 : x
  2. Step 2: Convert to fraction form
    90,319/120,655 = 120,655/x
  3. Step 3: Cross multiply
    90,319x = 120,655 × 120,655
  4. Step 4: Simplify right side
    90,319x = 14,557,629,025
  5. Step 5: Solve for x
    x = 14,557,629,025/90,319
  6. Step 6: Final answer
    x = 161,180.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.