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Finding the Third Proportional to 257,449 and 557,786

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Solution

The third proportional to 257,449 and 557,786 is: 1,208,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,449 : 557,786 = 557,786 : x
  2. Step 2: Convert to fraction form
    257,449/557,786 = 557,786/x
  3. Step 3: Cross multiply
    257,449x = 557,786 × 557,786
  4. Step 4: Simplify right side
    257,449x = 311,125,221,796
  5. Step 5: Solve for x
    x = 311,125,221,796/257,449
  6. Step 6: Final answer
    x = 1,208,492.64

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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.