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Finding the Third Proportional to 149,322 and 322,396

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Solution

The third proportional to 149,322 and 322,396 is: 696,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,322 : 322,396 = 322,396 : x
  2. Step 2: Convert to fraction form
    149,322/322,396 = 322,396/x
  3. Step 3: Cross multiply
    149,322x = 322,396 × 322,396
  4. Step 4: Simplify right side
    149,322x = 103,939,180,816
  5. Step 5: Solve for x
    x = 103,939,180,816/149,322
  6. Step 6: Final answer
    x = 696,074.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.