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Finding the Third Proportional to 286,275 and 611,916

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Solution

The third proportional to 286,275 and 611,916 is: 1,307,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,275 : 611,916 = 611,916 : x
  2. Step 2: Convert to fraction form
    286,275/611,916 = 611,916/x
  3. Step 3: Cross multiply
    286,275x = 611,916 × 611,916
  4. Step 4: Simplify right side
    286,275x = 374,441,191,056
  5. Step 5: Solve for x
    x = 374,441,191,056/286,275
  6. Step 6: Final answer
    x = 1,307,977.26

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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.