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Finding the Third Proportional to 283,169 and 428,381

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Solution

The third proportional to 283,169 and 428,381 is: 648,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,169 : 428,381 = 428,381 : x
  2. Step 2: Convert to fraction form
    283,169/428,381 = 428,381/x
  3. Step 3: Cross multiply
    283,169x = 428,381 × 428,381
  4. Step 4: Simplify right side
    283,169x = 183,510,281,161
  5. Step 5: Solve for x
    x = 183,510,281,161/283,169
  6. Step 6: Final answer
    x = 648,059.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.