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Finding the Third Proportional to 370,687 and 809,353

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Solution

The third proportional to 370,687 and 809,353 is: 1,767,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,687 : 809,353 = 809,353 : x
  2. Step 2: Convert to fraction form
    370,687/809,353 = 809,353/x
  3. Step 3: Cross multiply
    370,687x = 809,353 × 809,353
  4. Step 4: Simplify right side
    370,687x = 655,052,278,609
  5. Step 5: Solve for x
    x = 655,052,278,609/370,687
  6. Step 6: Final answer
    x = 1,767,130.43

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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.