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Finding the Third Proportional to 261,839 and 400,370

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Solution

The third proportional to 261,839 and 400,370 is: 612,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,839 : 400,370 = 400,370 : x
  2. Step 2: Convert to fraction form
    261,839/400,370 = 400,370/x
  3. Step 3: Cross multiply
    261,839x = 400,370 × 400,370
  4. Step 4: Simplify right side
    261,839x = 160,296,136,900
  5. Step 5: Solve for x
    x = 160,296,136,900/261,839
  6. Step 6: Final answer
    x = 612,193.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.