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Finding the Third Proportional to 85,278 and 119,284

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Solution

The third proportional to 85,278 and 119,284 is: 166,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,278 : 119,284 = 119,284 : x
  2. Step 2: Convert to fraction form
    85,278/119,284 = 119,284/x
  3. Step 3: Cross multiply
    85,278x = 119,284 × 119,284
  4. Step 4: Simplify right side
    85,278x = 14,228,672,656
  5. Step 5: Solve for x
    x = 14,228,672,656/85,278
  6. Step 6: Final answer
    x = 166,850.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.