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Finding the Third Proportional to 258,085 and 555,715

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Solution

The third proportional to 258,085 and 555,715 is: 1,196,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,085 : 555,715 = 555,715 : x
  2. Step 2: Convert to fraction form
    258,085/555,715 = 555,715/x
  3. Step 3: Cross multiply
    258,085x = 555,715 × 555,715
  4. Step 4: Simplify right side
    258,085x = 308,819,161,225
  5. Step 5: Solve for x
    x = 308,819,161,225/258,085
  6. Step 6: Final answer
    x = 1,196,579.27

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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.