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Finding the Third Proportional to 86,431 and 141,133

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Solution

The third proportional to 86,431 and 141,133 is: 230,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,431 : 141,133 = 141,133 : x
  2. Step 2: Convert to fraction form
    86,431/141,133 = 141,133/x
  3. Step 3: Cross multiply
    86,431x = 141,133 × 141,133
  4. Step 4: Simplify right side
    86,431x = 19,918,523,689
  5. Step 5: Solve for x
    x = 19,918,523,689/86,431
  6. Step 6: Final answer
    x = 230,455.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.