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Finding the Third Proportional to 289,248 and 622,947

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Solution

The third proportional to 289,248 and 622,947 is: 1,341,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,248 : 622,947 = 622,947 : x
  2. Step 2: Convert to fraction form
    289,248/622,947 = 622,947/x
  3. Step 3: Cross multiply
    289,248x = 622,947 × 622,947
  4. Step 4: Simplify right side
    289,248x = 388,062,964,809
  5. Step 5: Solve for x
    x = 388,062,964,809/289,248
  6. Step 6: Final answer
    x = 1,341,627.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.