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Finding the Third Proportional to 259,407 and 558,840

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Solution

The third proportional to 259,407 and 558,840 is: 1,203,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,407 : 558,840 = 558,840 : x
  2. Step 2: Convert to fraction form
    259,407/558,840 = 558,840/x
  3. Step 3: Cross multiply
    259,407x = 558,840 × 558,840
  4. Step 4: Simplify right side
    259,407x = 312,302,145,600
  5. Step 5: Solve for x
    x = 312,302,145,600/259,407
  6. Step 6: Final answer
    x = 1,203,907.93

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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.