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Finding the Third Proportional to 353,508 and 535,406

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Solution

The third proportional to 353,508 and 535,406 is: 810,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,508 : 535,406 = 535,406 : x
  2. Step 2: Convert to fraction form
    353,508/535,406 = 535,406/x
  3. Step 3: Cross multiply
    353,508x = 535,406 × 535,406
  4. Step 4: Simplify right side
    353,508x = 286,659,584,836
  5. Step 5: Solve for x
    x = 286,659,584,836/353,508
  6. Step 6: Final answer
    x = 810,899.85

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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.