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Finding the Third Proportional to 262,606 and 405,554

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Solution

The third proportional to 262,606 and 405,554 is: 626,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,606 : 405,554 = 405,554 : x
  2. Step 2: Convert to fraction form
    262,606/405,554 = 405,554/x
  3. Step 3: Cross multiply
    262,606x = 405,554 × 405,554
  4. Step 4: Simplify right side
    262,606x = 164,474,046,916
  5. Step 5: Solve for x
    x = 164,474,046,916/262,606
  6. Step 6: Final answer
    x = 626,314.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.