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Finding the Third Proportional to 144,075 and 211,443

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Solution

The third proportional to 144,075 and 211,443 is: 310,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,075 : 211,443 = 211,443 : x
  2. Step 2: Convert to fraction form
    144,075/211,443 = 211,443/x
  3. Step 3: Cross multiply
    144,075x = 211,443 × 211,443
  4. Step 4: Simplify right side
    144,075x = 44,708,142,249
  5. Step 5: Solve for x
    x = 44,708,142,249/144,075
  6. Step 6: Final answer
    x = 310,311.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.