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Finding the Third Proportional to 269,114 and 620,280

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Solution

The third proportional to 269,114 and 620,280 is: 1,429,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,114 : 620,280 = 620,280 : x
  2. Step 2: Convert to fraction form
    269,114/620,280 = 620,280/x
  3. Step 3: Cross multiply
    269,114x = 620,280 × 620,280
  4. Step 4: Simplify right side
    269,114x = 384,747,278,400
  5. Step 5: Solve for x
    x = 384,747,278,400/269,114
  6. Step 6: Final answer
    x = 1,429,681.39

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.