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Finding the Third Proportional to 254,906 and 555,311

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Solution

The third proportional to 254,906 and 555,311 is: 1,209,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,906 : 555,311 = 555,311 : x
  2. Step 2: Convert to fraction form
    254,906/555,311 = 555,311/x
  3. Step 3: Cross multiply
    254,906x = 555,311 × 555,311
  4. Step 4: Simplify right side
    254,906x = 308,370,306,721
  5. Step 5: Solve for x
    x = 308,370,306,721/254,906
  6. Step 6: Final answer
    x = 1,209,741.26

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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.