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Finding the Third Proportional to 259,478 and 558,970

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Solution

The third proportional to 259,478 and 558,970 is: 1,204,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,478 : 558,970 = 558,970 : x
  2. Step 2: Convert to fraction form
    259,478/558,970 = 558,970/x
  3. Step 3: Cross multiply
    259,478x = 558,970 × 558,970
  4. Step 4: Simplify right side
    259,478x = 312,447,460,900
  5. Step 5: Solve for x
    x = 312,447,460,900/259,478
  6. Step 6: Final answer
    x = 1,204,138.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.