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Finding the Third Proportional to 85,991 and 130,284

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Solution

The third proportional to 85,991 and 130,284 is: 197,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,991 : 130,284 = 130,284 : x
  2. Step 2: Convert to fraction form
    85,991/130,284 = 130,284/x
  3. Step 3: Cross multiply
    85,991x = 130,284 × 130,284
  4. Step 4: Simplify right side
    85,991x = 16,973,920,656
  5. Step 5: Solve for x
    x = 16,973,920,656/85,991
  6. Step 6: Final answer
    x = 197,391.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.