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Finding the Third Proportional to 192,276 and 409,572

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Solution

The third proportional to 192,276 and 409,572 is: 872,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,276 : 409,572 = 409,572 : x
  2. Step 2: Convert to fraction form
    192,276/409,572 = 409,572/x
  3. Step 3: Cross multiply
    192,276x = 409,572 × 409,572
  4. Step 4: Simplify right side
    192,276x = 167,749,223,184
  5. Step 5: Solve for x
    x = 167,749,223,184/192,276
  6. Step 6: Final answer
    x = 872,439.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.