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Finding the Third Proportional to 258,206 and 530,668

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Solution

The third proportional to 258,206 and 530,668 is: 1,090,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,206 : 530,668 = 530,668 : x
  2. Step 2: Convert to fraction form
    258,206/530,668 = 530,668/x
  3. Step 3: Cross multiply
    258,206x = 530,668 × 530,668
  4. Step 4: Simplify right side
    258,206x = 281,608,526,224
  5. Step 5: Solve for x
    x = 281,608,526,224/258,206
  6. Step 6: Final answer
    x = 1,090,635.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.