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Finding the Third Proportional to 628,014 and 1,360,284

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Solution

The third proportional to 628,014 and 1,360,284 is: 2,946,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,014 : 1,360,284 = 1,360,284 : x
  2. Step 2: Convert to fraction form
    628,014/1,360,284 = 1,360,284/x
  3. Step 3: Cross multiply
    628,014x = 1,360,284 × 1,360,284
  4. Step 4: Simplify right side
    628,014x = 1,850,372,560,656
  5. Step 5: Solve for x
    x = 1,850,372,560,656/628,014
  6. Step 6: Final answer
    x = 2,946,387.44

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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.