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Finding the Third Proportional to 258,781 and 563,125

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Solution

The third proportional to 258,781 and 563,125 is: 1,225,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,781 : 563,125 = 563,125 : x
  2. Step 2: Convert to fraction form
    258,781/563,125 = 563,125/x
  3. Step 3: Cross multiply
    258,781x = 563,125 × 563,125
  4. Step 4: Simplify right side
    258,781x = 317,109,765,625
  5. Step 5: Solve for x
    x = 317,109,765,625/258,781
  6. Step 6: Final answer
    x = 1,225,398.18

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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.