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Finding the Third Proportional to 208,720 and 279,620

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Solution

The third proportional to 208,720 and 279,620 is: 374,603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,720 : 279,620 = 279,620 : x
  2. Step 2: Convert to fraction form
    208,720/279,620 = 279,620/x
  3. Step 3: Cross multiply
    208,720x = 279,620 × 279,620
  4. Step 4: Simplify right side
    208,720x = 78,187,344,400
  5. Step 5: Solve for x
    x = 78,187,344,400/208,720
  6. Step 6: Final answer
    x = 374,603.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.