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Finding the Third Proportional to 262,608 and 405,557

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Solution

The third proportional to 262,608 and 405,557 is: 626,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,608 : 405,557 = 405,557 : x
  2. Step 2: Convert to fraction form
    262,608/405,557 = 405,557/x
  3. Step 3: Cross multiply
    262,608x = 405,557 × 405,557
  4. Step 4: Simplify right side
    262,608x = 164,476,480,249
  5. Step 5: Solve for x
    x = 164,476,480,249/262,608
  6. Step 6: Final answer
    x = 626,319.38

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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.