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Finding the Third Proportional to 137,817 and 207,805.50

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Solution

The third proportional to 137,817 and 207,805.50 is: 313,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,817 : 207,805.50 = 207,805.50 : x
  2. Step 2: Convert to fraction form
    137,817/207,805.50 = 207,805.50/x
  3. Step 3: Cross multiply
    137,817x = 207,805.50 × 207,805.50
  4. Step 4: Simplify right side
    137,817x = 43,183,125,830.25
  5. Step 5: Solve for x
    x = 43,183,125,830.25/137,817
  6. Step 6: Final answer
    x = 313,336.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.