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Finding the Third Proportional to 522,120 and 1,140,108

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Solution

The third proportional to 522,120 and 1,140,108 is: 2,489,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,120 : 1,140,108 = 1,140,108 : x
  2. Step 2: Convert to fraction form
    522,120/1,140,108 = 1,140,108/x
  3. Step 3: Cross multiply
    522,120x = 1,140,108 × 1,140,108
  4. Step 4: Simplify right side
    522,120x = 1,299,846,251,664
  5. Step 5: Solve for x
    x = 1,299,846,251,664/522,120
  6. Step 6: Final answer
    x = 2,489,554.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.