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Finding the Third Proportional to 283,334 and 421,814

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Solution

The third proportional to 283,334 and 421,814 is: 627,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,334 : 421,814 = 421,814 : x
  2. Step 2: Convert to fraction form
    283,334/421,814 = 421,814/x
  3. Step 3: Cross multiply
    283,334x = 421,814 × 421,814
  4. Step 4: Simplify right side
    283,334x = 177,927,050,596
  5. Step 5: Solve for x
    x = 177,927,050,596/283,334
  6. Step 6: Final answer
    x = 627,976.35

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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.