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Finding the Third Proportional to 258,158 and 555,867

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Solution

The third proportional to 258,158 and 555,867 is: 1,196,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,158 : 555,867 = 555,867 : x
  2. Step 2: Convert to fraction form
    258,158/555,867 = 555,867/x
  3. Step 3: Cross multiply
    258,158x = 555,867 × 555,867
  4. Step 4: Simplify right side
    258,158x = 308,988,121,689
  5. Step 5: Solve for x
    x = 308,988,121,689/258,158
  6. Step 6: Final answer
    x = 1,196,895.40

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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.