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Finding the Third Proportional to 370,728 and 809,415

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Solution

The third proportional to 370,728 and 809,415 is: 1,767,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,728 : 809,415 = 809,415 : x
  2. Step 2: Convert to fraction form
    370,728/809,415 = 809,415/x
  3. Step 3: Cross multiply
    370,728x = 809,415 × 809,415
  4. Step 4: Simplify right side
    370,728x = 655,152,642,225
  5. Step 5: Solve for x
    x = 655,152,642,225/370,728
  6. Step 6: Final answer
    x = 1,767,205.72

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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.