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Finding the Third Proportional to 258,144 and 555,842

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Solution

The third proportional to 258,144 and 555,842 is: 1,196,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,144 : 555,842 = 555,842 : x
  2. Step 2: Convert to fraction form
    258,144/555,842 = 555,842/x
  3. Step 3: Cross multiply
    258,144x = 555,842 × 555,842
  4. Step 4: Simplify right side
    258,144x = 308,960,328,964
  5. Step 5: Solve for x
    x = 308,960,328,964/258,144
  6. Step 6: Final answer
    x = 1,196,852.64

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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.