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Finding the Third Proportional to 703.90 and 1,605.02

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Solution

The third proportional to 703.90 and 1,605.02 is: 3,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.90 : 1,605.02 = 1,605.02 : x
  2. Step 2: Convert to fraction form
    703.90/1,605.02 = 1,605.02/x
  3. Step 3: Cross multiply
    703.90x = 1,605.02 × 1,605.02
  4. Step 4: Simplify right side
    703.90x = 2,576,100.23
  5. Step 5: Solve for x
    x = 2,576,100.23/703.90
  6. Step 6: Final answer
    x = 3,659.76

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.