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Finding the Third Proportional to 360,477 and 543,480

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Solution

The third proportional to 360,477 and 543,480 is: 819,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,477 : 543,480 = 543,480 : x
  2. Step 2: Convert to fraction form
    360,477/543,480 = 543,480/x
  3. Step 3: Cross multiply
    360,477x = 543,480 × 543,480
  4. Step 4: Simplify right side
    360,477x = 295,370,510,400
  5. Step 5: Solve for x
    x = 295,370,510,400/360,477
  6. Step 6: Final answer
    x = 819,387.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.