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Finding the Third Proportional to 370,467 and 809,433

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Solution

The third proportional to 370,467 and 809,433 is: 1,768,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,467 : 809,433 = 809,433 : x
  2. Step 2: Convert to fraction form
    370,467/809,433 = 809,433/x
  3. Step 3: Cross multiply
    370,467x = 809,433 × 809,433
  4. Step 4: Simplify right side
    370,467x = 655,181,781,489
  5. Step 5: Solve for x
    x = 655,181,781,489/370,467
  6. Step 6: Final answer
    x = 1,768,529.40

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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.