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Finding the Third Proportional to 81,303.75 and 191,565

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Solution

The third proportional to 81,303.75 and 191,565 is: 451,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,303.75 : 191,565 = 191,565 : x
  2. Step 2: Convert to fraction form
    81,303.75/191,565 = 191,565/x
  3. Step 3: Cross multiply
    81,303.75x = 191,565 × 191,565
  4. Step 4: Simplify right side
    81,303.75x = 36,697,149,225
  5. Step 5: Solve for x
    x = 36,697,149,225/81,303.75
  6. Step 6: Final answer
    x = 451,358.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.