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Finding the Third Proportional to 211,078 and 430,768

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Solution

The third proportional to 211,078 and 430,768 is: 879,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,078 : 430,768 = 430,768 : x
  2. Step 2: Convert to fraction form
    211,078/430,768 = 430,768/x
  3. Step 3: Cross multiply
    211,078x = 430,768 × 430,768
  4. Step 4: Simplify right side
    211,078x = 185,561,069,824
  5. Step 5: Solve for x
    x = 185,561,069,824/211,078
  6. Step 6: Final answer
    x = 879,111.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.