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Finding the Third Proportional to 354,240 and 748,494

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Solution

The third proportional to 354,240 and 748,494 is: 1,581,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,240 : 748,494 = 748,494 : x
  2. Step 2: Convert to fraction form
    354,240/748,494 = 748,494/x
  3. Step 3: Cross multiply
    354,240x = 748,494 × 748,494
  4. Step 4: Simplify right side
    354,240x = 560,243,268,036
  5. Step 5: Solve for x
    x = 560,243,268,036/354,240
  6. Step 6: Final answer
    x = 1,581,535.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.