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Finding the Third Proportional to 258,636 and 401,403

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Solution

The third proportional to 258,636 and 401,403 is: 622,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,636 : 401,403 = 401,403 : x
  2. Step 2: Convert to fraction form
    258,636/401,403 = 401,403/x
  3. Step 3: Cross multiply
    258,636x = 401,403 × 401,403
  4. Step 4: Simplify right side
    258,636x = 161,124,368,409
  5. Step 5: Solve for x
    x = 161,124,368,409/258,636
  6. Step 6: Final answer
    x = 622,977.34

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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.