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Finding the Third Proportional to 478.75 and 697.38

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Solution

The third proportional to 478.75 and 697.38 is: 1,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.75 : 697.38 = 697.38 : x
  2. Step 2: Convert to fraction form
    478.75/697.38 = 697.38/x
  3. Step 3: Cross multiply
    478.75x = 697.38 × 697.38
  4. Step 4: Simplify right side
    478.75x = 486,331.89
  5. Step 5: Solve for x
    x = 486,331.89/478.75
  6. Step 6: Final answer
    x = 1,015.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.