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Finding the Third Proportional to 106,590 and 153,990.75

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Solution

The third proportional to 106,590 and 153,990.75 is: 222,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,590 : 153,990.75 = 153,990.75 : x
  2. Step 2: Convert to fraction form
    106,590/153,990.75 = 153,990.75/x
  3. Step 3: Cross multiply
    106,590x = 153,990.75 × 153,990.75
  4. Step 4: Simplify right side
    106,590x = 23,713,151,085.56
  5. Step 5: Solve for x
    x = 23,713,151,085.56/106,590
  6. Step 6: Final answer
    x = 222,470.69

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.