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Finding the Third Proportional to 132,779.50 and 203,040

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Solution

The third proportional to 132,779.50 and 203,040 is: 310,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,779.50 : 203,040 = 203,040 : x
  2. Step 2: Convert to fraction form
    132,779.50/203,040 = 203,040/x
  3. Step 3: Cross multiply
    132,779.50x = 203,040 × 203,040
  4. Step 4: Simplify right side
    132,779.50x = 41,225,241,600
  5. Step 5: Solve for x
    x = 41,225,241,600/132,779.50
  6. Step 6: Final answer
    x = 310,478.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.