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Finding the Third Proportional to 211,106 and 330,483

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Solution

The third proportional to 211,106 and 330,483 is: 517,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,106 : 330,483 = 330,483 : x
  2. Step 2: Convert to fraction form
    211,106/330,483 = 330,483/x
  3. Step 3: Cross multiply
    211,106x = 330,483 × 330,483
  4. Step 4: Simplify right side
    211,106x = 109,219,013,289
  5. Step 5: Solve for x
    x = 109,219,013,289/211,106
  6. Step 6: Final answer
    x = 517,365.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.