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Finding the Third Proportional to 174,779.44 and 378,718.88

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Solution

The third proportional to 174,779.44 and 378,718.88 is: 820,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,779.44 : 378,718.88 = 378,718.88 : x
  2. Step 2: Convert to fraction form
    174,779.44/378,718.88 = 378,718.88/x
  3. Step 3: Cross multiply
    174,779.44x = 378,718.88 × 378,718.88
  4. Step 4: Simplify right side
    174,779.44x = 143,427,986,281.27
  5. Step 5: Solve for x
    x = 143,427,986,281.27/174,779.44
  6. Step 6: Final answer
    x = 820,622.77

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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.