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Finding the Third Proportional to 474.89 and 697.08

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Solution

The third proportional to 474.89 and 697.08 is: 1,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.89 : 697.08 = 697.08 : x
  2. Step 2: Convert to fraction form
    474.89/697.08 = 697.08/x
  3. Step 3: Cross multiply
    474.89x = 697.08 × 697.08
  4. Step 4: Simplify right side
    474.89x = 485,917.91
  5. Step 5: Solve for x
    x = 485,917.91/474.89
  6. Step 6: Final answer
    x = 1,023.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.