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Finding the Third Proportional to 259,588 and 563,240

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Solution

The third proportional to 259,588 and 563,240 is: 1,222,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,588 : 563,240 = 563,240 : x
  2. Step 2: Convert to fraction form
    259,588/563,240 = 563,240/x
  3. Step 3: Cross multiply
    259,588x = 563,240 × 563,240
  4. Step 4: Simplify right side
    259,588x = 317,239,297,600
  5. Step 5: Solve for x
    x = 317,239,297,600/259,588
  6. Step 6: Final answer
    x = 1,222,087.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.