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Finding the Third Proportional to 286,021 and 615,825

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Solution

The third proportional to 286,021 and 615,825 is: 1,325,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,021 : 615,825 = 615,825 : x
  2. Step 2: Convert to fraction form
    286,021/615,825 = 615,825/x
  3. Step 3: Cross multiply
    286,021x = 615,825 × 615,825
  4. Step 4: Simplify right side
    286,021x = 379,240,430,625
  5. Step 5: Solve for x
    x = 379,240,430,625/286,021
  6. Step 6: Final answer
    x = 1,325,918.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.