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Finding the Third Proportional to 123,854.50 and 189,779.50

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Solution

The third proportional to 123,854.50 and 189,779.50 is: 290,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,854.50 : 189,779.50 = 189,779.50 : x
  2. Step 2: Convert to fraction form
    123,854.50/189,779.50 = 189,779.50/x
  3. Step 3: Cross multiply
    123,854.50x = 189,779.50 × 189,779.50
  4. Step 4: Simplify right side
    123,854.50x = 36,016,258,620.25
  5. Step 5: Solve for x
    x = 36,016,258,620.25/123,854.50
  6. Step 6: Final answer
    x = 290,794.91

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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.