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Finding the Third Proportional to 285,780 and 620,760

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Solution

The third proportional to 285,780 and 620,760 is: 1,348,390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,780 : 620,760 = 620,760 : x
  2. Step 2: Convert to fraction form
    285,780/620,760 = 620,760/x
  3. Step 3: Cross multiply
    285,780x = 620,760 × 620,760
  4. Step 4: Simplify right side
    285,780x = 385,342,977,600
  5. Step 5: Solve for x
    x = 385,342,977,600/285,780
  6. Step 6: Final answer
    x = 1,348,390.29

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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.