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Finding the Third Proportional to 81,308 and 191,574

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Solution

The third proportional to 81,308 and 191,574 is: 451,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,308 : 191,574 = 191,574 : x
  2. Step 2: Convert to fraction form
    81,308/191,574 = 191,574/x
  3. Step 3: Cross multiply
    81,308x = 191,574 × 191,574
  4. Step 4: Simplify right side
    81,308x = 36,700,597,476
  5. Step 5: Solve for x
    x = 36,700,597,476/81,308
  6. Step 6: Final answer
    x = 451,377.45

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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.