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Finding the Third Proportional to 538,218 and 1,268,730

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Solution

The third proportional to 538,218 and 1,268,730 is: 2,990,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,218 : 1,268,730 = 1,268,730 : x
  2. Step 2: Convert to fraction form
    538,218/1,268,730 = 1,268,730/x
  3. Step 3: Cross multiply
    538,218x = 1,268,730 × 1,268,730
  4. Step 4: Simplify right side
    538,218x = 1,609,675,812,900
  5. Step 5: Solve for x
    x = 1,609,675,812,900/538,218
  6. Step 6: Final answer
    x = 2,990,750.61

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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.