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Finding the Third Proportional to 354,090 and 541,908

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Solution

The third proportional to 354,090 and 541,908 is: 829,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,090 : 541,908 = 541,908 : x
  2. Step 2: Convert to fraction form
    354,090/541,908 = 541,908/x
  3. Step 3: Cross multiply
    354,090x = 541,908 × 541,908
  4. Step 4: Simplify right side
    354,090x = 293,664,280,464
  5. Step 5: Solve for x
    x = 293,664,280,464/354,090
  6. Step 6: Final answer
    x = 829,349.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.