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Finding the Third Proportional to 518,140 and 1,221,383

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Solution

The third proportional to 518,140 and 1,221,383 is: 2,879,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,140 : 1,221,383 = 1,221,383 : x
  2. Step 2: Convert to fraction form
    518,140/1,221,383 = 1,221,383/x
  3. Step 3: Cross multiply
    518,140x = 1,221,383 × 1,221,383
  4. Step 4: Simplify right side
    518,140x = 1,491,776,432,689
  5. Step 5: Solve for x
    x = 1,491,776,432,689/518,140
  6. Step 6: Final answer
    x = 2,879,099.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.