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Finding the Third Proportional to 139,463 and 286,278

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Solution

The third proportional to 139,463 and 286,278 is: 587,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,463 : 286,278 = 286,278 : x
  2. Step 2: Convert to fraction form
    139,463/286,278 = 286,278/x
  3. Step 3: Cross multiply
    139,463x = 286,278 × 286,278
  4. Step 4: Simplify right side
    139,463x = 81,955,093,284
  5. Step 5: Solve for x
    x = 81,955,093,284/139,463
  6. Step 6: Final answer
    x = 587,647.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.