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Finding the Third Proportional to 211,028 and 302,290

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Solution

The third proportional to 211,028 and 302,290 is: 433,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,028 : 302,290 = 302,290 : x
  2. Step 2: Convert to fraction form
    211,028/302,290 = 302,290/x
  3. Step 3: Cross multiply
    211,028x = 302,290 × 302,290
  4. Step 4: Simplify right side
    211,028x = 91,379,244,100
  5. Step 5: Solve for x
    x = 91,379,244,100/211,028
  6. Step 6: Final answer
    x = 433,019.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.