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Finding the Third Proportional to 283,742 and 428,997

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Solution

The third proportional to 283,742 and 428,997 is: 648,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,742 : 428,997 = 428,997 : x
  2. Step 2: Convert to fraction form
    283,742/428,997 = 428,997/x
  3. Step 3: Cross multiply
    283,742x = 428,997 × 428,997
  4. Step 4: Simplify right side
    283,742x = 184,038,426,009
  5. Step 5: Solve for x
    x = 184,038,426,009/283,742
  6. Step 6: Final answer
    x = 648,611.86

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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.