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Finding the Third Proportional to 144,445 and 211,318

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Solution

The third proportional to 144,445 and 211,318 is: 309,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,445 : 211,318 = 211,318 : x
  2. Step 2: Convert to fraction form
    144,445/211,318 = 211,318/x
  3. Step 3: Cross multiply
    144,445x = 211,318 × 211,318
  4. Step 4: Simplify right side
    144,445x = 44,655,297,124
  5. Step 5: Solve for x
    x = 44,655,297,124/144,445
  6. Step 6: Final answer
    x = 309,150.87

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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.