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Finding the Third Proportional to 86,490 and 131,485

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Solution

The third proportional to 86,490 and 131,485 is: 199,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,490 : 131,485 = 131,485 : x
  2. Step 2: Convert to fraction form
    86,490/131,485 = 131,485/x
  3. Step 3: Cross multiply
    86,490x = 131,485 × 131,485
  4. Step 4: Simplify right side
    86,490x = 17,288,305,225
  5. Step 5: Solve for x
    x = 17,288,305,225/86,490
  6. Step 6: Final answer
    x = 199,887.91

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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.