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Finding the Third Proportional to 86,563 and 135,312

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Solution

The third proportional to 86,563 and 135,312 is: 211,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,563 : 135,312 = 135,312 : x
  2. Step 2: Convert to fraction form
    86,563/135,312 = 135,312/x
  3. Step 3: Cross multiply
    86,563x = 135,312 × 135,312
  4. Step 4: Simplify right side
    86,563x = 18,309,337,344
  5. Step 5: Solve for x
    x = 18,309,337,344/86,563
  6. Step 6: Final answer
    x = 211,514.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.