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Finding the Third Proportional to 307,800 and 462,591

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Solution

The third proportional to 307,800 and 462,591 is: 695,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,800 : 462,591 = 462,591 : x
  2. Step 2: Convert to fraction form
    307,800/462,591 = 462,591/x
  3. Step 3: Cross multiply
    307,800x = 462,591 × 462,591
  4. Step 4: Simplify right side
    307,800x = 213,990,433,281
  5. Step 5: Solve for x
    x = 213,990,433,281/307,800
  6. Step 6: Final answer
    x = 695,225.58

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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.