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Finding the Third Proportional to 402.94 and 873.60

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Solution

The third proportional to 402.94 and 873.60 is: 1,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.94 : 873.60 = 873.60 : x
  2. Step 2: Convert to fraction form
    402.94/873.60 = 873.60/x
  3. Step 3: Cross multiply
    402.94x = 873.60 × 873.60
  4. Step 4: Simplify right side
    402.94x = 763,172.87
  5. Step 5: Solve for x
    x = 763,172.87/402.94
  6. Step 6: Final answer
    x = 1,894.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.