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Finding the Third Proportional to 258,192 and 563,112

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Solution

The third proportional to 258,192 and 563,112 is: 1,228,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,192 : 563,112 = 563,112 : x
  2. Step 2: Convert to fraction form
    258,192/563,112 = 563,112/x
  3. Step 3: Cross multiply
    258,192x = 563,112 × 563,112
  4. Step 4: Simplify right side
    258,192x = 317,095,124,544
  5. Step 5: Solve for x
    x = 317,095,124,544/258,192
  6. Step 6: Final answer
    x = 1,228,136.91

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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.