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Finding the Third Proportional to 286,671 and 613,518

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Solution

The third proportional to 286,671 and 613,518 is: 1,313,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,671 : 613,518 = 613,518 : x
  2. Step 2: Convert to fraction form
    286,671/613,518 = 613,518/x
  3. Step 3: Cross multiply
    286,671x = 613,518 × 613,518
  4. Step 4: Simplify right side
    286,671x = 376,404,336,324
  5. Step 5: Solve for x
    x = 376,404,336,324/286,671
  6. Step 6: Final answer
    x = 1,313,018.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.