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Finding the Third Proportional to 212,620 and 455,768

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Solution

The third proportional to 212,620 and 455,768 is: 976,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,620 : 455,768 = 455,768 : x
  2. Step 2: Convert to fraction form
    212,620/455,768 = 455,768/x
  3. Step 3: Cross multiply
    212,620x = 455,768 × 455,768
  4. Step 4: Simplify right side
    212,620x = 207,724,469,824
  5. Step 5: Solve for x
    x = 207,724,469,824/212,620
  6. Step 6: Final answer
    x = 976,975.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.