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Finding the Third Proportional to 635.72 and 971.90

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Solution

The third proportional to 635.72 and 971.90 is: 1,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.72 : 971.90 = 971.90 : x
  2. Step 2: Convert to fraction form
    635.72/971.90 = 971.90/x
  3. Step 3: Cross multiply
    635.72x = 971.90 × 971.90
  4. Step 4: Simplify right side
    635.72x = 944,582.18
  5. Step 5: Solve for x
    x = 944,582.18/635.72
  6. Step 6: Final answer
    x = 1,485.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.