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Finding the Third Proportional to 211,454 and 309,243

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Solution

The third proportional to 211,454 and 309,243 is: 452,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,454 : 309,243 = 309,243 : x
  2. Step 2: Convert to fraction form
    211,454/309,243 = 309,243/x
  3. Step 3: Cross multiply
    211,454x = 309,243 × 309,243
  4. Step 4: Simplify right side
    211,454x = 95,631,233,049
  5. Step 5: Solve for x
    x = 95,631,233,049/211,454
  6. Step 6: Final answer
    x = 452,255.49

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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.