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Finding the Third Proportional to 144,437 and 211,305

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Solution

The third proportional to 144,437 and 211,305 is: 309,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,437 : 211,305 = 211,305 : x
  2. Step 2: Convert to fraction form
    144,437/211,305 = 211,305/x
  3. Step 3: Cross multiply
    144,437x = 211,305 × 211,305
  4. Step 4: Simplify right side
    144,437x = 44,649,803,025
  5. Step 5: Solve for x
    x = 44,649,803,025/144,437
  6. Step 6: Final answer
    x = 309,129.95

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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.