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Finding the Third Proportional to 280,820.25 and 615,096.75

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Solution

The third proportional to 280,820.25 and 615,096.75 is: 1,347,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,820.25 : 615,096.75 = 615,096.75 : x
  2. Step 2: Convert to fraction form
    280,820.25/615,096.75 = 615,096.75/x
  3. Step 3: Cross multiply
    280,820.25x = 615,096.75 × 615,096.75
  4. Step 4: Simplify right side
    280,820.25x = 378,344,011,860.56
  5. Step 5: Solve for x
    x = 378,344,011,860.56/280,820.25
  6. Step 6: Final answer
    x = 1,347,281.80

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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.