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Finding the Third Proportional to 812,262 and 1,760,118

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Solution

The third proportional to 812,262 and 1,760,118 is: 3,814,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,262 : 1,760,118 = 1,760,118 : x
  2. Step 2: Convert to fraction form
    812,262/1,760,118 = 1,760,118/x
  3. Step 3: Cross multiply
    812,262x = 1,760,118 × 1,760,118
  4. Step 4: Simplify right side
    812,262x = 3,098,015,373,924
  5. Step 5: Solve for x
    x = 3,098,015,373,924/812,262
  6. Step 6: Final answer
    x = 3,814,059.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.