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Finding the Third Proportional to 282,783 and 615,543

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Solution

The third proportional to 282,783 and 615,543 is: 1,339,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,783 : 615,543 = 615,543 : x
  2. Step 2: Convert to fraction form
    282,783/615,543 = 615,543/x
  3. Step 3: Cross multiply
    282,783x = 615,543 × 615,543
  4. Step 4: Simplify right side
    282,783x = 378,893,184,849
  5. Step 5: Solve for x
    x = 378,893,184,849/282,783
  6. Step 6: Final answer
    x = 1,339,872.57

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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.