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Finding the Third Proportional to 307,815 and 462,615

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Solution

The third proportional to 307,815 and 462,615 is: 695,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,815 : 462,615 = 462,615 : x
  2. Step 2: Convert to fraction form
    307,815/462,615 = 462,615/x
  3. Step 3: Cross multiply
    307,815x = 462,615 × 462,615
  4. Step 4: Simplify right side
    307,815x = 214,012,638,225
  5. Step 5: Solve for x
    x = 214,012,638,225/307,815
  6. Step 6: Final answer
    x = 695,263.84

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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.