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Finding the Third Proportional to 137,995 and 207,677

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Solution

The third proportional to 137,995 and 207,677 is: 312,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,995 : 207,677 = 207,677 : x
  2. Step 2: Convert to fraction form
    137,995/207,677 = 207,677/x
  3. Step 3: Cross multiply
    137,995x = 207,677 × 207,677
  4. Step 4: Simplify right side
    137,995x = 43,129,736,329
  5. Step 5: Solve for x
    x = 43,129,736,329/137,995
  6. Step 6: Final answer
    x = 312,545.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.