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Finding the Third Proportional to 207,954 and 289,741.50

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Solution

The third proportional to 207,954 and 289,741.50 is: 403,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,954 : 289,741.50 = 289,741.50 : x
  2. Step 2: Convert to fraction form
    207,954/289,741.50 = 289,741.50/x
  3. Step 3: Cross multiply
    207,954x = 289,741.50 × 289,741.50
  4. Step 4: Simplify right side
    207,954x = 83,950,136,822.25
  5. Step 5: Solve for x
    x = 83,950,136,822.25/207,954
  6. Step 6: Final answer
    x = 403,695.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.