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Finding the Third Proportional to 259,906 and 567,440

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Solution

The third proportional to 259,906 and 567,440 is: 1,238,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,906 : 567,440 = 567,440 : x
  2. Step 2: Convert to fraction form
    259,906/567,440 = 567,440/x
  3. Step 3: Cross multiply
    259,906x = 567,440 × 567,440
  4. Step 4: Simplify right side
    259,906x = 321,988,153,600
  5. Step 5: Solve for x
    x = 321,988,153,600/259,906
  6. Step 6: Final answer
    x = 1,238,863.87

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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.