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Finding the Third Proportional to 877.64 and 1,322.02

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Solution

The third proportional to 877.64 and 1,322.02 is: 1,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.64 : 1,322.02 = 1,322.02 : x
  2. Step 2: Convert to fraction form
    877.64/1,322.02 = 1,322.02/x
  3. Step 3: Cross multiply
    877.64x = 1,322.02 × 1,322.02
  4. Step 4: Simplify right side
    877.64x = 1,747,725.31
  5. Step 5: Solve for x
    x = 1,747,725.31/877.64
  6. Step 6: Final answer
    x = 1,991.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.