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Finding the Third Proportional to 421.03 and 697.78

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Solution

The third proportional to 421.03 and 697.78 is: 1,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.03 : 697.78 = 697.78 : x
  2. Step 2: Convert to fraction form
    421.03/697.78 = 697.78/x
  3. Step 3: Cross multiply
    421.03x = 697.78 × 697.78
  4. Step 4: Simplify right side
    421.03x = 486,898.67
  5. Step 5: Solve for x
    x = 486,898.67/421.03
  6. Step 6: Final answer
    x = 1,156.44

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.