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Finding the Third Proportional to 258,948 and 406,893

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Solution

The third proportional to 258,948 and 406,893 is: 639,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,948 : 406,893 = 406,893 : x
  2. Step 2: Convert to fraction form
    258,948/406,893 = 406,893/x
  3. Step 3: Cross multiply
    258,948x = 406,893 × 406,893
  4. Step 4: Simplify right side
    258,948x = 165,561,913,449
  5. Step 5: Solve for x
    x = 165,561,913,449/258,948
  6. Step 6: Final answer
    x = 639,363.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.