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Finding the Third Proportional to 86,573 and 130,431

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Solution

The third proportional to 86,573 and 130,431 is: 196,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,573 : 130,431 = 130,431 : x
  2. Step 2: Convert to fraction form
    86,573/130,431 = 130,431/x
  3. Step 3: Cross multiply
    86,573x = 130,431 × 130,431
  4. Step 4: Simplify right side
    86,573x = 17,012,245,761
  5. Step 5: Solve for x
    x = 17,012,245,761/86,573
  6. Step 6: Final answer
    x = 196,507.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.