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Finding the Third Proportional to 259,240 and 558,944

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Solution

The third proportional to 259,240 and 558,944 is: 1,205,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,240 : 558,944 = 558,944 : x
  2. Step 2: Convert to fraction form
    259,240/558,944 = 558,944/x
  3. Step 3: Cross multiply
    259,240x = 558,944 × 558,944
  4. Step 4: Simplify right side
    259,240x = 312,418,395,136
  5. Step 5: Solve for x
    x = 312,418,395,136/259,240
  6. Step 6: Final answer
    x = 1,205,131.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.