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Finding the Third Proportional to 261,925 and 387,977

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Solution

The third proportional to 261,925 and 387,977 is: 574,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,925 : 387,977 = 387,977 : x
  2. Step 2: Convert to fraction form
    261,925/387,977 = 387,977/x
  3. Step 3: Cross multiply
    261,925x = 387,977 × 387,977
  4. Step 4: Simplify right side
    261,925x = 150,526,152,529
  5. Step 5: Solve for x
    x = 150,526,152,529/261,925
  6. Step 6: Final answer
    x = 574,691.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.