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Finding the Third Proportional to 419,568 and 645,280

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Solution

The third proportional to 419,568 and 645,280 is: 992,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,568 : 645,280 = 645,280 : x
  2. Step 2: Convert to fraction form
    419,568/645,280 = 645,280/x
  3. Step 3: Cross multiply
    419,568x = 645,280 × 645,280
  4. Step 4: Simplify right side
    419,568x = 416,386,278,400
  5. Step 5: Solve for x
    x = 416,386,278,400/419,568
  6. Step 6: Final answer
    x = 992,416.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.