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Finding the Third Proportional to 280,829.11 and 615,114.42

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Solution

The third proportional to 280,829.11 and 615,114.42 is: 1,347,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,829.11 : 615,114.42 = 615,114.42 : x
  2. Step 2: Convert to fraction form
    280,829.11/615,114.42 = 615,114.42/x
  3. Step 3: Cross multiply
    280,829.11x = 615,114.42 × 615,114.42
  4. Step 4: Simplify right side
    280,829.11x = 378,365,751,998.62
  5. Step 5: Solve for x
    x = 378,365,751,998.62/280,829.11
  6. Step 6: Final answer
    x = 1,347,316.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.