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Finding the Third Proportional to 211,428 and 309,204

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Solution

The third proportional to 211,428 and 309,204 is: 452,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,428 : 309,204 = 309,204 : x
  2. Step 2: Convert to fraction form
    211,428/309,204 = 309,204/x
  3. Step 3: Cross multiply
    211,428x = 309,204 × 309,204
  4. Step 4: Simplify right side
    211,428x = 95,607,113,616
  5. Step 5: Solve for x
    x = 95,607,113,616/211,428
  6. Step 6: Final answer
    x = 452,197.03

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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.