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Finding the Third Proportional to 355,322 and 469,479

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Solution

The third proportional to 355,322 and 469,479 is: 620,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,322 : 469,479 = 469,479 : x
  2. Step 2: Convert to fraction form
    355,322/469,479 = 469,479/x
  3. Step 3: Cross multiply
    355,322x = 469,479 × 469,479
  4. Step 4: Simplify right side
    355,322x = 220,410,531,441
  5. Step 5: Solve for x
    x = 220,410,531,441/355,322
  6. Step 6: Final answer
    x = 620,312.09

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.