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Finding the Third Proportional to 211,080 and 309,228

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Solution

The third proportional to 211,080 and 309,228 is: 453,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,080 : 309,228 = 309,228 : x
  2. Step 2: Convert to fraction form
    211,080/309,228 = 309,228/x
  3. Step 3: Cross multiply
    211,080x = 309,228 × 309,228
  4. Step 4: Simplify right side
    211,080x = 95,621,955,984
  5. Step 5: Solve for x
    x = 95,621,955,984/211,080
  6. Step 6: Final answer
    x = 453,012.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.