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Finding the Third Proportional to 722,448 and 1,125,036

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Solution

The third proportional to 722,448 and 1,125,036 is: 1,751,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,448 : 1,125,036 = 1,125,036 : x
  2. Step 2: Convert to fraction form
    722,448/1,125,036 = 1,125,036/x
  3. Step 3: Cross multiply
    722,448x = 1,125,036 × 1,125,036
  4. Step 4: Simplify right side
    722,448x = 1,265,706,001,296
  5. Step 5: Solve for x
    x = 1,265,706,001,296/722,448
  6. Step 6: Final answer
    x = 1,751,968.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.