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Finding the Third Proportional to 281,511 and 414,819

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Solution

The third proportional to 281,511 and 414,819 is: 611,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,511 : 414,819 = 414,819 : x
  2. Step 2: Convert to fraction form
    281,511/414,819 = 414,819/x
  3. Step 3: Cross multiply
    281,511x = 414,819 × 414,819
  4. Step 4: Simplify right side
    281,511x = 172,074,802,761
  5. Step 5: Solve for x
    x = 172,074,802,761/281,511
  6. Step 6: Final answer
    x = 611,254.28

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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.