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Finding the Third Proportional to 380,814 and 534,933

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Solution

The third proportional to 380,814 and 534,933 is: 751,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,814 : 534,933 = 534,933 : x
  2. Step 2: Convert to fraction form
    380,814/534,933 = 534,933/x
  3. Step 3: Cross multiply
    380,814x = 534,933 × 534,933
  4. Step 4: Simplify right side
    380,814x = 286,153,314,489
  5. Step 5: Solve for x
    x = 286,153,314,489/380,814
  6. Step 6: Final answer
    x = 751,425.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.