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Finding the Third Proportional to 601,400 and 1,321,840

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Solution

The third proportional to 601,400 and 1,321,840 is: 2,905,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,400 : 1,321,840 = 1,321,840 : x
  2. Step 2: Convert to fraction form
    601,400/1,321,840 = 1,321,840/x
  3. Step 3: Cross multiply
    601,400x = 1,321,840 × 1,321,840
  4. Step 4: Simplify right side
    601,400x = 1,747,260,985,600
  5. Step 5: Solve for x
    x = 1,747,260,985,600/601,400
  6. Step 6: Final answer
    x = 2,905,322.56

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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.