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Finding the Third Proportional to 83,779.50 and 180,676.50

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Solution

The third proportional to 83,779.50 and 180,676.50 is: 389,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,779.50 : 180,676.50 = 180,676.50 : x
  2. Step 2: Convert to fraction form
    83,779.50/180,676.50 = 180,676.50/x
  3. Step 3: Cross multiply
    83,779.50x = 180,676.50 × 180,676.50
  4. Step 4: Simplify right side
    83,779.50x = 32,643,997,652.25
  5. Step 5: Solve for x
    x = 32,643,997,652.25/83,779.50
  6. Step 6: Final answer
    x = 389,641.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.