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Finding the Third Proportional to 280,393.31 and 611,538.19

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Solution

The third proportional to 280,393.31 and 611,538.19 is: 1,333,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,393.31 : 611,538.19 = 611,538.19 : x
  2. Step 2: Convert to fraction form
    280,393.31/611,538.19 = 611,538.19/x
  3. Step 3: Cross multiply
    280,393.31x = 611,538.19 × 611,538.19
  4. Step 4: Simplify right side
    280,393.31x = 373,978,954,770.79
  5. Step 5: Solve for x
    x = 373,978,954,770.79/280,393.31
  6. Step 6: Final answer
    x = 1,333,765.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.