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Finding the Third Proportional to 258,228 and 566,298

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Solution

The third proportional to 258,228 and 566,298 is: 1,241,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,228 : 566,298 = 566,298 : x
  2. Step 2: Convert to fraction form
    258,228/566,298 = 566,298/x
  3. Step 3: Cross multiply
    258,228x = 566,298 × 566,298
  4. Step 4: Simplify right side
    258,228x = 320,693,424,804
  5. Step 5: Solve for x
    x = 320,693,424,804/258,228
  6. Step 6: Final answer
    x = 1,241,900.28

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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.