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Finding the Third Proportional to 211,356 and 309,258

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Solution

The third proportional to 211,356 and 309,258 is: 452,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,356 : 309,258 = 309,258 : x
  2. Step 2: Convert to fraction form
    211,356/309,258 = 309,258/x
  3. Step 3: Cross multiply
    211,356x = 309,258 × 309,258
  4. Step 4: Simplify right side
    211,356x = 95,640,510,564
  5. Step 5: Solve for x
    x = 95,640,510,564/211,356
  6. Step 6: Final answer
    x = 452,509.09

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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.