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Finding the Third Proportional to 282,928 and 615,617

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Solution

The third proportional to 282,928 and 615,617 is: 1,339,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,928 : 615,617 = 615,617 : x
  2. Step 2: Convert to fraction form
    282,928/615,617 = 615,617/x
  3. Step 3: Cross multiply
    282,928x = 615,617 × 615,617
  4. Step 4: Simplify right side
    282,928x = 378,984,290,689
  5. Step 5: Solve for x
    x = 378,984,290,689/282,928
  6. Step 6: Final answer
    x = 1,339,507.90

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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.