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Finding the Third Proportional to 628,298.33 and 1,356,243.28

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Solution

The third proportional to 628,298.33 and 1,356,243.28 is: 2,927,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,298.33 : 1,356,243.28 = 1,356,243.28 : x
  2. Step 2: Convert to fraction form
    628,298.33/1,356,243.28 = 1,356,243.28/x
  3. Step 3: Cross multiply
    628,298.33x = 1,356,243.28 × 1,356,243.28
  4. Step 4: Simplify right side
    628,298.33x = 1,839,395,822,042.22
  5. Step 5: Solve for x
    x = 1,839,395,822,042.22/628,298.33
  6. Step 6: Final answer
    x = 2,927,583.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.