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Finding the Third Proportional to 139,228 and 224,178

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Solution

The third proportional to 139,228 and 224,178 is: 360,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,228 : 224,178 = 224,178 : x
  2. Step 2: Convert to fraction form
    139,228/224,178 = 224,178/x
  3. Step 3: Cross multiply
    139,228x = 224,178 × 224,178
  4. Step 4: Simplify right side
    139,228x = 50,255,775,684
  5. Step 5: Solve for x
    x = 50,255,775,684/139,228
  6. Step 6: Final answer
    x = 360,960.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.