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Finding the Third Proportional to 86,886.84 and 202,991.06

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Solution

The third proportional to 86,886.84 and 202,991.06 is: 474,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,886.84 : 202,991.06 = 202,991.06 : x
  2. Step 2: Convert to fraction form
    86,886.84/202,991.06 = 202,991.06/x
  3. Step 3: Cross multiply
    86,886.84x = 202,991.06 × 202,991.06
  4. Step 4: Simplify right side
    86,886.84x = 41,205,371,454.88
  5. Step 5: Solve for x
    x = 41,205,371,454.88/86,886.84
  6. Step 6: Final answer
    x = 474,241.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.