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Finding the Third Proportional to 628,021 and 1,360,298

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Solution

The third proportional to 628,021 and 1,360,298 is: 2,946,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,021 : 1,360,298 = 1,360,298 : x
  2. Step 2: Convert to fraction form
    628,021/1,360,298 = 1,360,298/x
  3. Step 3: Cross multiply
    628,021x = 1,360,298 × 1,360,298
  4. Step 4: Simplify right side
    628,021x = 1,850,410,648,804
  5. Step 5: Solve for x
    x = 1,850,410,648,804/628,021
  6. Step 6: Final answer
    x = 2,946,415.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.