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Finding the Third Proportional to 282,719 and 615,375

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Solution

The third proportional to 282,719 and 615,375 is: 1,339,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,719 : 615,375 = 615,375 : x
  2. Step 2: Convert to fraction form
    282,719/615,375 = 615,375/x
  3. Step 3: Cross multiply
    282,719x = 615,375 × 615,375
  4. Step 4: Simplify right side
    282,719x = 378,686,390,625
  5. Step 5: Solve for x
    x = 378,686,390,625/282,719
  6. Step 6: Final answer
    x = 1,339,444.43

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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.