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Finding the Third Proportional to 90,965 and 191,355

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Solution

The third proportional to 90,965 and 191,355 is: 402,536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,965 : 191,355 = 191,355 : x
  2. Step 2: Convert to fraction form
    90,965/191,355 = 191,355/x
  3. Step 3: Cross multiply
    90,965x = 191,355 × 191,355
  4. Step 4: Simplify right side
    90,965x = 36,616,736,025
  5. Step 5: Solve for x
    x = 36,616,736,025/90,965
  6. Step 6: Final answer
    x = 402,536.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.