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Finding the Third Proportional to 283,164 and 428,373

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Solution

The third proportional to 283,164 and 428,373 is: 648,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,164 : 428,373 = 428,373 : x
  2. Step 2: Convert to fraction form
    283,164/428,373 = 428,373/x
  3. Step 3: Cross multiply
    283,164x = 428,373 × 428,373
  4. Step 4: Simplify right side
    283,164x = 183,503,427,129
  5. Step 5: Solve for x
    x = 183,503,427,129/283,164
  6. Step 6: Final answer
    x = 648,046.46

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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.