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Finding the Third Proportional to 258,153 and 555,855

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Solution

The third proportional to 258,153 and 555,855 is: 1,196,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,153 : 555,855 = 555,855 : x
  2. Step 2: Convert to fraction form
    258,153/555,855 = 555,855/x
  3. Step 3: Cross multiply
    258,153x = 555,855 × 555,855
  4. Step 4: Simplify right side
    258,153x = 308,974,781,025
  5. Step 5: Solve for x
    x = 308,974,781,025/258,153
  6. Step 6: Final answer
    x = 1,196,866.90

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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.