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Finding the Third Proportional to 370,731 and 809,421

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Solution

The third proportional to 370,731 and 809,421 is: 1,767,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,731 : 809,421 = 809,421 : x
  2. Step 2: Convert to fraction form
    370,731/809,421 = 809,421/x
  3. Step 3: Cross multiply
    370,731x = 809,421 × 809,421
  4. Step 4: Simplify right side
    370,731x = 655,162,355,241
  5. Step 5: Solve for x
    x = 655,162,355,241/370,731
  6. Step 6: Final answer
    x = 1,767,217.62

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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.