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Finding the Third Proportional to 258,142 and 555,838

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Solution

The third proportional to 258,142 and 555,838 is: 1,196,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,142 : 555,838 = 555,838 : x
  2. Step 2: Convert to fraction form
    258,142/555,838 = 555,838/x
  3. Step 3: Cross multiply
    258,142x = 555,838 × 555,838
  4. Step 4: Simplify right side
    258,142x = 308,955,882,244
  5. Step 5: Solve for x
    x = 308,955,882,244/258,142
  6. Step 6: Final answer
    x = 1,196,844.69

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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.