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Finding the Third Proportional to 131,403 and 202,938

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Solution

The third proportional to 131,403 and 202,938 is: 313,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,403 : 202,938 = 202,938 : x
  2. Step 2: Convert to fraction form
    131,403/202,938 = 202,938/x
  3. Step 3: Cross multiply
    131,403x = 202,938 × 202,938
  4. Step 4: Simplify right side
    131,403x = 41,183,831,844
  5. Step 5: Solve for x
    x = 41,183,831,844/131,403
  6. Step 6: Final answer
    x = 313,416.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.