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Finding the Third Proportional to 86,550 and 191,886

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Solution

The third proportional to 86,550 and 191,886 is: 425,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,550 : 191,886 = 191,886 : x
  2. Step 2: Convert to fraction form
    86,550/191,886 = 191,886/x
  3. Step 3: Cross multiply
    86,550x = 191,886 × 191,886
  4. Step 4: Simplify right side
    86,550x = 36,820,236,996
  5. Step 5: Solve for x
    x = 36,820,236,996/86,550
  6. Step 6: Final answer
    x = 425,421.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.