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Finding the Third Proportional to 139,506 and 305,094

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Solution

The third proportional to 139,506 and 305,094 is: 667,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,506 : 305,094 = 305,094 : x
  2. Step 2: Convert to fraction form
    139,506/305,094 = 305,094/x
  3. Step 3: Cross multiply
    139,506x = 305,094 × 305,094
  4. Step 4: Simplify right side
    139,506x = 93,082,348,836
  5. Step 5: Solve for x
    x = 93,082,348,836/139,506
  6. Step 6: Final answer
    x = 667,228.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.