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Finding the Third Proportional to 86,998 and 115,674

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Solution

The third proportional to 86,998 and 115,674 is: 153,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,998 : 115,674 = 115,674 : x
  2. Step 2: Convert to fraction form
    86,998/115,674 = 115,674/x
  3. Step 3: Cross multiply
    86,998x = 115,674 × 115,674
  4. Step 4: Simplify right side
    86,998x = 13,380,474,276
  5. Step 5: Solve for x
    x = 13,380,474,276/86,998
  6. Step 6: Final answer
    x = 153,802.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.