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Finding the Third Proportional to 852,108 and 1,854,552

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Solution

The third proportional to 852,108 and 1,854,552 is: 4,036,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,108 : 1,854,552 = 1,854,552 : x
  2. Step 2: Convert to fraction form
    852,108/1,854,552 = 1,854,552/x
  3. Step 3: Cross multiply
    852,108x = 1,854,552 × 1,854,552
  4. Step 4: Simplify right side
    852,108x = 3,439,363,120,704
  5. Step 5: Solve for x
    x = 3,439,363,120,704/852,108
  6. Step 6: Final answer
    x = 4,036,299.53

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Why These Related Problems?

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