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Finding the Third Proportional to 203,841 and 432,348

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Solution

The third proportional to 203,841 and 432,348 is: 917,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,841 : 432,348 = 432,348 : x
  2. Step 2: Convert to fraction form
    203,841/432,348 = 432,348/x
  3. Step 3: Cross multiply
    203,841x = 432,348 × 432,348
  4. Step 4: Simplify right side
    203,841x = 186,924,793,104
  5. Step 5: Solve for x
    x = 186,924,793,104/203,841
  6. Step 6: Final answer
    x = 917,012.74

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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.