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Finding the Third Proportional to 257,118 and 558,462

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Solution

The third proportional to 257,118 and 558,462 is: 1,212,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,118 : 558,462 = 558,462 : x
  2. Step 2: Convert to fraction form
    257,118/558,462 = 558,462/x
  3. Step 3: Cross multiply
    257,118x = 558,462 × 558,462
  4. Step 4: Simplify right side
    257,118x = 311,879,805,444
  5. Step 5: Solve for x
    x = 311,879,805,444/257,118
  6. Step 6: Final answer
    x = 1,212,983.17

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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.