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Finding the Third Proportional to 401,334 and 605,403

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Solution

The third proportional to 401,334 and 605,403 is: 913,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,334 : 605,403 = 605,403 : x
  2. Step 2: Convert to fraction form
    401,334/605,403 = 605,403/x
  3. Step 3: Cross multiply
    401,334x = 605,403 × 605,403
  4. Step 4: Simplify right side
    401,334x = 366,512,792,409
  5. Step 5: Solve for x
    x = 366,512,792,409/401,334
  6. Step 6: Final answer
    x = 913,236.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.