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Finding the Third Proportional to 307,819 and 462,621

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Solution

The third proportional to 307,819 and 462,621 is: 695,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,819 : 462,621 = 462,621 : x
  2. Step 2: Convert to fraction form
    307,819/462,621 = 462,621/x
  3. Step 3: Cross multiply
    307,819x = 462,621 × 462,621
  4. Step 4: Simplify right side
    307,819x = 214,018,189,641
  5. Step 5: Solve for x
    x = 214,018,189,641/307,819
  6. Step 6: Final answer
    x = 695,272.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.