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Finding the Third Proportional to 546,867 and 856,141.50

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Solution

The third proportional to 546,867 and 856,141.50 is: 1,340,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,867 : 856,141.50 = 856,141.50 : x
  2. Step 2: Convert to fraction form
    546,867/856,141.50 = 856,141.50/x
  3. Step 3: Cross multiply
    546,867x = 856,141.50 × 856,141.50
  4. Step 4: Simplify right side
    546,867x = 732,978,268,022.25
  5. Step 5: Solve for x
    x = 732,978,268,022.25/546,867
  6. Step 6: Final answer
    x = 1,340,322.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.