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Finding the Third Proportional to 605,380 and 1,328,840

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Solution

The third proportional to 605,380 and 1,328,840 is: 2,916,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,380 : 1,328,840 = 1,328,840 : x
  2. Step 2: Convert to fraction form
    605,380/1,328,840 = 1,328,840/x
  3. Step 3: Cross multiply
    605,380x = 1,328,840 × 1,328,840
  4. Step 4: Simplify right side
    605,380x = 1,765,815,745,600
  5. Step 5: Solve for x
    x = 1,765,815,745,600/605,380
  6. Step 6: Final answer
    x = 2,916,871.63

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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.