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Finding the Third Proportional to 282,816 and 615,408

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Solution

The third proportional to 282,816 and 615,408 is: 1,339,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,816 : 615,408 = 615,408 : x
  2. Step 2: Convert to fraction form
    282,816/615,408 = 615,408/x
  3. Step 3: Cross multiply
    282,816x = 615,408 × 615,408
  4. Step 4: Simplify right side
    282,816x = 378,727,006,464
  5. Step 5: Solve for x
    x = 378,727,006,464/282,816
  6. Step 6: Final answer
    x = 1,339,128.64

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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.