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Finding the Third Proportional to 1,182,710 and 1,853,188

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Solution

The third proportional to 1,182,710 and 1,853,188 is: 2,903,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,710 : 1,853,188 = 1,853,188 : x
  2. Step 2: Convert to fraction form
    1,182,710/1,853,188 = 1,853,188/x
  3. Step 3: Cross multiply
    1,182,710x = 1,853,188 × 1,853,188
  4. Step 4: Simplify right side
    1,182,710x = 3,434,305,763,344
  5. Step 5: Solve for x
    x = 3,434,305,763,344/1,182,710
  6. Step 6: Final answer
    x = 2,903,759.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.