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Finding the Third Proportional to 258,840 and 566,124

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Solution

The third proportional to 258,840 and 566,124 is: 1,238,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,840 : 566,124 = 566,124 : x
  2. Step 2: Convert to fraction form
    258,840/566,124 = 566,124/x
  3. Step 3: Cross multiply
    258,840x = 566,124 × 566,124
  4. Step 4: Simplify right side
    258,840x = 320,496,383,376
  5. Step 5: Solve for x
    x = 320,496,383,376/258,840
  6. Step 6: Final answer
    x = 1,238,202.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.