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Finding the Third Proportional to 469.69 and 639.84

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Solution

The third proportional to 469.69 and 639.84 is: 871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.69 : 639.84 = 639.84 : x
  2. Step 2: Convert to fraction form
    469.69/639.84 = 639.84/x
  3. Step 3: Cross multiply
    469.69x = 639.84 × 639.84
  4. Step 4: Simplify right side
    469.69x = 409,400.02
  5. Step 5: Solve for x
    x = 409,400.02/469.69
  6. Step 6: Final answer
    x = 871.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.