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Finding the Third Proportional to 821.63 and 1,779.94

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Solution

The third proportional to 821.63 and 1,779.94 is: 3,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.63 : 1,779.94 = 1,779.94 : x
  2. Step 2: Convert to fraction form
    821.63/1,779.94 = 1,779.94/x
  3. Step 3: Cross multiply
    821.63x = 1,779.94 × 1,779.94
  4. Step 4: Simplify right side
    821.63x = 3,168,177.50
  5. Step 5: Solve for x
    x = 3,168,177.50/821.63
  6. Step 6: Final answer
    x = 3,855.99

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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.