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Finding the Third Proportional to 628,973 and 1,381,503

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Solution

The third proportional to 628,973 and 1,381,503 is: 3,034,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,973 : 1,381,503 = 1,381,503 : x
  2. Step 2: Convert to fraction form
    628,973/1,381,503 = 1,381,503/x
  3. Step 3: Cross multiply
    628,973x = 1,381,503 × 1,381,503
  4. Step 4: Simplify right side
    628,973x = 1,908,550,539,009
  5. Step 5: Solve for x
    x = 1,908,550,539,009/628,973
  6. Step 6: Final answer
    x = 3,034,391.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.