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Finding the Third Proportional to 258,054 and 410,889

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Solution

The third proportional to 258,054 and 410,889 is: 654,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,054 : 410,889 = 410,889 : x
  2. Step 2: Convert to fraction form
    258,054/410,889 = 410,889/x
  3. Step 3: Cross multiply
    258,054x = 410,889 × 410,889
  4. Step 4: Simplify right side
    258,054x = 168,829,770,321
  5. Step 5: Solve for x
    x = 168,829,770,321/258,054
  6. Step 6: Final answer
    x = 654,242.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.