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Finding the Third Proportional to 262,008 and 405,819

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Solution

The third proportional to 262,008 and 405,819 is: 628,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,008 : 405,819 = 405,819 : x
  2. Step 2: Convert to fraction form
    262,008/405,819 = 405,819/x
  3. Step 3: Cross multiply
    262,008x = 405,819 × 405,819
  4. Step 4: Simplify right side
    262,008x = 164,689,060,761
  5. Step 5: Solve for x
    x = 164,689,060,761/262,008
  6. Step 6: Final answer
    x = 628,565.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.