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Finding the Third Proportional to 370,699 and 809,356

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Solution

The third proportional to 370,699 and 809,356 is: 1,767,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,699 : 809,356 = 809,356 : x
  2. Step 2: Convert to fraction form
    370,699/809,356 = 809,356/x
  3. Step 3: Cross multiply
    370,699x = 809,356 × 809,356
  4. Step 4: Simplify right side
    370,699x = 655,057,134,736
  5. Step 5: Solve for x
    x = 655,057,134,736/370,699
  6. Step 6: Final answer
    x = 1,767,086.33

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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.