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Finding the Third Proportional to 208,874 and 336,315

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Solution

The third proportional to 208,874 and 336,315 is: 541,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,874 : 336,315 = 336,315 : x
  2. Step 2: Convert to fraction form
    208,874/336,315 = 336,315/x
  3. Step 3: Cross multiply
    208,874x = 336,315 × 336,315
  4. Step 4: Simplify right side
    208,874x = 113,107,779,225
  5. Step 5: Solve for x
    x = 113,107,779,225/208,874
  6. Step 6: Final answer
    x = 541,512.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.