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Finding the Third Proportional to 259,430 and 558,880

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Solution

The third proportional to 259,430 and 558,880 is: 1,203,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,430 : 558,880 = 558,880 : x
  2. Step 2: Convert to fraction form
    259,430/558,880 = 558,880/x
  3. Step 3: Cross multiply
    259,430x = 558,880 × 558,880
  4. Step 4: Simplify right side
    259,430x = 312,346,854,400
  5. Step 5: Solve for x
    x = 312,346,854,400/259,430
  6. Step 6: Final answer
    x = 1,203,973.54

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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.