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Finding the Third Proportional to 281,493 and 414,820

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Solution

The third proportional to 281,493 and 414,820 is: 611,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,493 : 414,820 = 414,820 : x
  2. Step 2: Convert to fraction form
    281,493/414,820 = 414,820/x
  3. Step 3: Cross multiply
    281,493x = 414,820 × 414,820
  4. Step 4: Simplify right side
    281,493x = 172,075,632,400
  5. Step 5: Solve for x
    x = 172,075,632,400/281,493
  6. Step 6: Final answer
    x = 611,296.31

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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.