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Finding the Third Proportional to 211,321 and 309,395

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Solution

The third proportional to 211,321 and 309,395 is: 452,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,321 : 309,395 = 309,395 : x
  2. Step 2: Convert to fraction form
    211,321/309,395 = 309,395/x
  3. Step 3: Cross multiply
    211,321x = 309,395 × 309,395
  4. Step 4: Simplify right side
    211,321x = 95,725,266,025
  5. Step 5: Solve for x
    x = 95,725,266,025/211,321
  6. Step 6: Final answer
    x = 452,985.11

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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.