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Finding the Third Proportional to 283,736 and 428,988

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Solution

The third proportional to 283,736 and 428,988 is: 648,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,736 : 428,988 = 428,988 : x
  2. Step 2: Convert to fraction form
    283,736/428,988 = 428,988/x
  3. Step 3: Cross multiply
    283,736x = 428,988 × 428,988
  4. Step 4: Simplify right side
    283,736x = 184,030,704,144
  5. Step 5: Solve for x
    x = 184,030,704,144/283,736
  6. Step 6: Final answer
    x = 648,598.36

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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.