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Finding the Third Proportional to 289,652 and 429,962

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Solution

The third proportional to 289,652 and 429,962 is: 638,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,652 : 429,962 = 429,962 : x
  2. Step 2: Convert to fraction form
    289,652/429,962 = 429,962/x
  3. Step 3: Cross multiply
    289,652x = 429,962 × 429,962
  4. Step 4: Simplify right side
    289,652x = 184,867,321,444
  5. Step 5: Solve for x
    x = 184,867,321,444/289,652
  6. Step 6: Final answer
    x = 638,239.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.