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Finding the Third Proportional to 401,508 and 605,664

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Solution

The third proportional to 401,508 and 605,664 is: 913,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,508 : 605,664 = 605,664 : x
  2. Step 2: Convert to fraction form
    401,508/605,664 = 605,664/x
  3. Step 3: Cross multiply
    401,508x = 605,664 × 605,664
  4. Step 4: Simplify right side
    401,508x = 366,828,880,896
  5. Step 5: Solve for x
    x = 366,828,880,896/401,508
  6. Step 6: Final answer
    x = 913,627.83

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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.