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Finding the Third Proportional to 258,069 and 555,687

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Solution

The third proportional to 258,069 and 555,687 is: 1,196,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,069 : 555,687 = 555,687 : x
  2. Step 2: Convert to fraction form
    258,069/555,687 = 555,687/x
  3. Step 3: Cross multiply
    258,069x = 555,687 × 555,687
  4. Step 4: Simplify right side
    258,069x = 308,788,041,969
  5. Step 5: Solve for x
    x = 308,788,041,969/258,069
  6. Step 6: Final answer
    x = 1,196,532.87

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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.