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Finding the Third Proportional to 703.37 and 1,490.91

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Solution

The third proportional to 703.37 and 1,490.91 is: 3,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.37 : 1,490.91 = 1,490.91 : x
  2. Step 2: Convert to fraction form
    703.37/1,490.91 = 1,490.91/x
  3. Step 3: Cross multiply
    703.37x = 1,490.91 × 1,490.91
  4. Step 4: Simplify right side
    703.37x = 2,222,801.45
  5. Step 5: Solve for x
    x = 2,222,801.45/703.37
  6. Step 6: Final answer
    x = 3,160.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.