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Finding the Third Proportional to 255,974 and 558,603

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Solution

The third proportional to 255,974 and 558,603 is: 1,219,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,974 : 558,603 = 558,603 : x
  2. Step 2: Convert to fraction form
    255,974/558,603 = 558,603/x
  3. Step 3: Cross multiply
    255,974x = 558,603 × 558,603
  4. Step 4: Simplify right side
    255,974x = 312,037,311,609
  5. Step 5: Solve for x
    x = 312,037,311,609/255,974
  6. Step 6: Final answer
    x = 1,219,019.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.