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Finding the Third Proportional to 283,740 and 428,994

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Solution

The third proportional to 283,740 and 428,994 is: 648,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,740 : 428,994 = 428,994 : x
  2. Step 2: Convert to fraction form
    283,740/428,994 = 428,994/x
  3. Step 3: Cross multiply
    283,740x = 428,994 × 428,994
  4. Step 4: Simplify right side
    283,740x = 184,035,852,036
  5. Step 5: Solve for x
    x = 184,035,852,036/283,740
  6. Step 6: Final answer
    x = 648,607.36

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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.