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Finding the Third Proportional to 257,111 and 558,447

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Solution

The third proportional to 257,111 and 558,447 is: 1,212,951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,111 : 558,447 = 558,447 : x
  2. Step 2: Convert to fraction form
    257,111/558,447 = 558,447/x
  3. Step 3: Cross multiply
    257,111x = 558,447 × 558,447
  4. Step 4: Simplify right side
    257,111x = 311,863,051,809
  5. Step 5: Solve for x
    x = 311,863,051,809/257,111
  6. Step 6: Final answer
    x = 1,212,951.03

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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.