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Finding the Third Proportional to 821.25 and 2,165.63

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Solution

The third proportional to 821.25 and 2,165.63 is: 5,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.25 : 2,165.63 = 2,165.63 : x
  2. Step 2: Convert to fraction form
    821.25/2,165.63 = 2,165.63/x
  3. Step 3: Cross multiply
    821.25x = 2,165.63 × 2,165.63
  4. Step 4: Simplify right side
    821.25x = 4,689,931.64
  5. Step 5: Solve for x
    x = 4,689,931.64/821.25
  6. Step 6: Final answer
    x = 5,710.72

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.