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Finding the Third Proportional to 258,384 and 556,192

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Solution

The third proportional to 258,384 and 556,192 is: 1,197,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,384 : 556,192 = 556,192 : x
  2. Step 2: Convert to fraction form
    258,384/556,192 = 556,192/x
  3. Step 3: Cross multiply
    258,384x = 556,192 × 556,192
  4. Step 4: Simplify right side
    258,384x = 309,349,540,864
  5. Step 5: Solve for x
    x = 309,349,540,864/258,384
  6. Step 6: Final answer
    x = 1,197,247.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.