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Finding the Third Proportional to 144,446 and 211,316

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Solution

The third proportional to 144,446 and 211,316 is: 309,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,446 : 211,316 = 211,316 : x
  2. Step 2: Convert to fraction form
    144,446/211,316 = 211,316/x
  3. Step 3: Cross multiply
    144,446x = 211,316 × 211,316
  4. Step 4: Simplify right side
    144,446x = 44,654,451,856
  5. Step 5: Solve for x
    x = 44,654,451,856/144,446
  6. Step 6: Final answer
    x = 309,142.88

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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.