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Finding the Third Proportional to 283,728 and 421,572

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Solution

The third proportional to 283,728 and 421,572 is: 626,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,728 : 421,572 = 421,572 : x
  2. Step 2: Convert to fraction form
    283,728/421,572 = 421,572/x
  3. Step 3: Cross multiply
    283,728x = 421,572 × 421,572
  4. Step 4: Simplify right side
    283,728x = 177,722,951,184
  5. Step 5: Solve for x
    x = 177,722,951,184/283,728
  6. Step 6: Final answer
    x = 626,384.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.