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Finding the Third Proportional to 211,392 and 309,504

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Solution

The third proportional to 211,392 and 309,504 is: 453,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,392 : 309,504 = 309,504 : x
  2. Step 2: Convert to fraction form
    211,392/309,504 = 309,504/x
  3. Step 3: Cross multiply
    211,392x = 309,504 × 309,504
  4. Step 4: Simplify right side
    211,392x = 95,792,726,016
  5. Step 5: Solve for x
    x = 95,792,726,016/211,392
  6. Step 6: Final answer
    x = 453,152.09

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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.