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Finding the Third Proportional to 208,412 and 431,116

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Solution

The third proportional to 208,412 and 431,116 is: 891,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,412 : 431,116 = 431,116 : x
  2. Step 2: Convert to fraction form
    208,412/431,116 = 431,116/x
  3. Step 3: Cross multiply
    208,412x = 431,116 × 431,116
  4. Step 4: Simplify right side
    208,412x = 185,861,005,456
  5. Step 5: Solve for x
    x = 185,861,005,456/208,412
  6. Step 6: Final answer
    x = 891,796.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.