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Finding the Third Proportional to 258,588 and 556,542

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Solution

The third proportional to 258,588 and 556,542 is: 1,197,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,588 : 556,542 = 556,542 : x
  2. Step 2: Convert to fraction form
    258,588/556,542 = 556,542/x
  3. Step 3: Cross multiply
    258,588x = 556,542 × 556,542
  4. Step 4: Simplify right side
    258,588x = 309,738,997,764
  5. Step 5: Solve for x
    x = 309,738,997,764/258,588
  6. Step 6: Final answer
    x = 1,197,808.86

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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.