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Finding the Third Proportional to 258,940 and 401,851

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Solution

The third proportional to 258,940 and 401,851 is: 623,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,940 : 401,851 = 401,851 : x
  2. Step 2: Convert to fraction form
    258,940/401,851 = 401,851/x
  3. Step 3: Cross multiply
    258,940x = 401,851 × 401,851
  4. Step 4: Simplify right side
    258,940x = 161,484,226,201
  5. Step 5: Solve for x
    x = 161,484,226,201/258,940
  6. Step 6: Final answer
    x = 623,635.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.