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Finding the Third Proportional to 258,880 and 564,608

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Solution

The third proportional to 258,880 and 564,608 is: 1,231,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,880 : 564,608 = 564,608 : x
  2. Step 2: Convert to fraction form
    258,880/564,608 = 564,608/x
  3. Step 3: Cross multiply
    258,880x = 564,608 × 564,608
  4. Step 4: Simplify right side
    258,880x = 318,782,193,664
  5. Step 5: Solve for x
    x = 318,782,193,664/258,880
  6. Step 6: Final answer
    x = 1,231,389.81

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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.