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Finding the Third Proportional to 299,420 and 476,178

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Solution

The third proportional to 299,420 and 476,178 is: 757,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,420 : 476,178 = 476,178 : x
  2. Step 2: Convert to fraction form
    299,420/476,178 = 476,178/x
  3. Step 3: Cross multiply
    299,420x = 476,178 × 476,178
  4. Step 4: Simplify right side
    299,420x = 226,745,487,684
  5. Step 5: Solve for x
    x = 226,745,487,684/299,420
  6. Step 6: Final answer
    x = 757,282.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.