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Finding the Third Proportional to 194,586 and 427,482

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Solution

The third proportional to 194,586 and 427,482 is: 939,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,586 : 427,482 = 427,482 : x
  2. Step 2: Convert to fraction form
    194,586/427,482 = 427,482/x
  3. Step 3: Cross multiply
    194,586x = 427,482 × 427,482
  4. Step 4: Simplify right side
    194,586x = 182,740,860,324
  5. Step 5: Solve for x
    x = 182,740,860,324/194,586
  6. Step 6: Final answer
    x = 939,126.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.