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Finding the Third Proportional to 211,353 and 309,254

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Solution

The third proportional to 211,353 and 309,254 is: 452,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,353 : 309,254 = 309,254 : x
  2. Step 2: Convert to fraction form
    211,353/309,254 = 309,254/x
  3. Step 3: Cross multiply
    211,353x = 309,254 × 309,254
  4. Step 4: Simplify right side
    211,353x = 95,638,036,516
  5. Step 5: Solve for x
    x = 95,638,036,516/211,353
  6. Step 6: Final answer
    x = 452,503.80

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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.