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Finding the Third Proportional to 409.64 and 887.63

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Solution

The third proportional to 409.64 and 887.63 is: 1,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.64 : 887.63 = 887.63 : x
  2. Step 2: Convert to fraction form
    409.64/887.63 = 887.63/x
  3. Step 3: Cross multiply
    409.64x = 887.63 × 887.63
  4. Step 4: Simplify right side
    409.64x = 787,878.14
  5. Step 5: Solve for x
    x = 787,878.14/409.64
  6. Step 6: Final answer
    x = 1,923.34

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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.