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Finding the Third Proportional to 370,472 and 809,442

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Solution

The third proportional to 370,472 and 809,442 is: 1,768,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,472 : 809,442 = 809,442 : x
  2. Step 2: Convert to fraction form
    370,472/809,442 = 809,442/x
  3. Step 3: Cross multiply
    370,472x = 809,442 × 809,442
  4. Step 4: Simplify right side
    370,472x = 655,196,351,364
  5. Step 5: Solve for x
    x = 655,196,351,364/370,472
  6. Step 6: Final answer
    x = 1,768,544.86

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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.