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Finding the Third Proportional to 258,802 and 565,717

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Solution

The third proportional to 258,802 and 565,717 is: 1,236,604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,802 : 565,717 = 565,717 : x
  2. Step 2: Convert to fraction form
    258,802/565,717 = 565,717/x
  3. Step 3: Cross multiply
    258,802x = 565,717 × 565,717
  4. Step 4: Simplify right side
    258,802x = 320,035,724,089
  5. Step 5: Solve for x
    x = 320,035,724,089/258,802
  6. Step 6: Final answer
    x = 1,236,604.52

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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.