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Finding the Third Proportional to 258,800 and 565,579

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Solution

The third proportional to 258,800 and 565,579 is: 1,236,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,800 : 565,579 = 565,579 : x
  2. Step 2: Convert to fraction form
    258,800/565,579 = 565,579/x
  3. Step 3: Cross multiply
    258,800x = 565,579 × 565,579
  4. Step 4: Simplify right side
    258,800x = 319,879,605,241
  5. Step 5: Solve for x
    x = 319,879,605,241/258,800
  6. Step 6: Final answer
    x = 1,236,010.84

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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.