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Finding the Third Proportional to 580,324.50 and 1,278,342

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Solution

The third proportional to 580,324.50 and 1,278,342 is: 2,815,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,324.50 : 1,278,342 = 1,278,342 : x
  2. Step 2: Convert to fraction form
    580,324.50/1,278,342 = 1,278,342/x
  3. Step 3: Cross multiply
    580,324.50x = 1,278,342 × 1,278,342
  4. Step 4: Simplify right side
    580,324.50x = 1,634,158,268,964
  5. Step 5: Solve for x
    x = 1,634,158,268,964/580,324.50
  6. Step 6: Final answer
    x = 2,815,938.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.