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Finding the Third Proportional to 257,616 and 378,961

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Solution

The third proportional to 257,616 and 378,961 is: 557,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,616 : 378,961 = 378,961 : x
  2. Step 2: Convert to fraction form
    257,616/378,961 = 378,961/x
  3. Step 3: Cross multiply
    257,616x = 378,961 × 378,961
  4. Step 4: Simplify right side
    257,616x = 143,611,439,521
  5. Step 5: Solve for x
    x = 143,611,439,521/257,616
  6. Step 6: Final answer
    x = 557,463.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.