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Finding the Third Proportional to 258,698 and 555,196

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Solution

The third proportional to 258,698 and 555,196 is: 1,191,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,698 : 555,196 = 555,196 : x
  2. Step 2: Convert to fraction form
    258,698/555,196 = 555,196/x
  3. Step 3: Cross multiply
    258,698x = 555,196 × 555,196
  4. Step 4: Simplify right side
    258,698x = 308,242,598,416
  5. Step 5: Solve for x
    x = 308,242,598,416/258,698
  6. Step 6: Final answer
    x = 1,191,515.20

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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.