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Finding the Third Proportional to 669.75 and 878.63

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Solution

The third proportional to 669.75 and 878.63 is: 1,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.75 : 878.63 = 878.63 : x
  2. Step 2: Convert to fraction form
    669.75/878.63 = 878.63/x
  3. Step 3: Cross multiply
    669.75x = 878.63 × 878.63
  4. Step 4: Simplify right side
    669.75x = 771,981.89
  5. Step 5: Solve for x
    x = 771,981.89/669.75
  6. Step 6: Final answer
    x = 1,152.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.