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Finding the Third Proportional to 131,938 and 268,484

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Solution

The third proportional to 131,938 and 268,484 is: 546,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,938 : 268,484 = 268,484 : x
  2. Step 2: Convert to fraction form
    131,938/268,484 = 268,484/x
  3. Step 3: Cross multiply
    131,938x = 268,484 × 268,484
  4. Step 4: Simplify right side
    131,938x = 72,083,658,256
  5. Step 5: Solve for x
    x = 72,083,658,256/131,938
  6. Step 6: Final answer
    x = 546,344.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.