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Finding the Third Proportional to 211,452 and 309,239

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Solution

The third proportional to 211,452 and 309,239 is: 452,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,452 : 309,239 = 309,239 : x
  2. Step 2: Convert to fraction form
    211,452/309,239 = 309,239/x
  3. Step 3: Cross multiply
    211,452x = 309,239 × 309,239
  4. Step 4: Simplify right side
    211,452x = 95,628,759,121
  5. Step 5: Solve for x
    x = 95,628,759,121/211,452
  6. Step 6: Final answer
    x = 452,248.07

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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.