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Finding the Third Proportional to 620,448 and 1,286,976

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Solution

The third proportional to 620,448 and 1,286,976 is: 2,669,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,448 : 1,286,976 = 1,286,976 : x
  2. Step 2: Convert to fraction form
    620,448/1,286,976 = 1,286,976/x
  3. Step 3: Cross multiply
    620,448x = 1,286,976 × 1,286,976
  4. Step 4: Simplify right side
    620,448x = 1,656,307,224,576
  5. Step 5: Solve for x
    x = 1,656,307,224,576/620,448
  6. Step 6: Final answer
    x = 2,669,534.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.