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Finding the Third Proportional to 203,965 and 432,242

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Solution

The third proportional to 203,965 and 432,242 is: 916,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,965 : 432,242 = 432,242 : x
  2. Step 2: Convert to fraction form
    203,965/432,242 = 432,242/x
  3. Step 3: Cross multiply
    203,965x = 432,242 × 432,242
  4. Step 4: Simplify right side
    203,965x = 186,833,146,564
  5. Step 5: Solve for x
    x = 186,833,146,564/203,965
  6. Step 6: Final answer
    x = 916,005.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.