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Finding the Third Proportional to 257,144 and 557,056

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Solution

The third proportional to 257,144 and 557,056 is: 1,206,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,144 : 557,056 = 557,056 : x
  2. Step 2: Convert to fraction form
    257,144/557,056 = 557,056/x
  3. Step 3: Cross multiply
    257,144x = 557,056 × 557,056
  4. Step 4: Simplify right side
    257,144x = 310,311,387,136
  5. Step 5: Solve for x
    x = 310,311,387,136/257,144
  6. Step 6: Final answer
    x = 1,206,761.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.