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Finding the Third Proportional to 658,720 and 1,340,720

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Solution

The third proportional to 658,720 and 1,340,720 is: 2,728,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,720 : 1,340,720 = 1,340,720 : x
  2. Step 2: Convert to fraction form
    658,720/1,340,720 = 1,340,720/x
  3. Step 3: Cross multiply
    658,720x = 1,340,720 × 1,340,720
  4. Step 4: Simplify right side
    658,720x = 1,797,530,118,400
  5. Step 5: Solve for x
    x = 1,797,530,118,400/658,720
  6. Step 6: Final answer
    x = 2,728,822.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.