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Finding the Third Proportional to 370,668 and 809,316

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Solution

The third proportional to 370,668 and 809,316 is: 1,767,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,668 : 809,316 = 809,316 : x
  2. Step 2: Convert to fraction form
    370,668/809,316 = 809,316/x
  3. Step 3: Cross multiply
    370,668x = 809,316 × 809,316
  4. Step 4: Simplify right side
    370,668x = 654,992,387,856
  5. Step 5: Solve for x
    x = 654,992,387,856/370,668
  6. Step 6: Final answer
    x = 1,767,059.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.