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Finding the Third Proportional to 139,448 and 213,360

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Solution

The third proportional to 139,448 and 213,360 is: 326,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,448 : 213,360 = 213,360 : x
  2. Step 2: Convert to fraction form
    139,448/213,360 = 213,360/x
  3. Step 3: Cross multiply
    139,448x = 213,360 × 213,360
  4. Step 4: Simplify right side
    139,448x = 45,522,489,600
  5. Step 5: Solve for x
    x = 45,522,489,600/139,448
  6. Step 6: Final answer
    x = 326,447.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.