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Finding the Third Proportional to 282,717 and 615,297

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Solution

The third proportional to 282,717 and 615,297 is: 1,339,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,717 : 615,297 = 615,297 : x
  2. Step 2: Convert to fraction form
    282,717/615,297 = 615,297/x
  3. Step 3: Cross multiply
    282,717x = 615,297 × 615,297
  4. Step 4: Simplify right side
    282,717x = 378,590,398,209
  5. Step 5: Solve for x
    x = 378,590,398,209/282,717
  6. Step 6: Final answer
    x = 1,339,114.37

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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.