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Finding the Third Proportional to 109,374.19 and 178,596.56

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Solution

The third proportional to 109,374.19 and 178,596.56 is: 291,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,374.19 : 178,596.56 = 178,596.56 : x
  2. Step 2: Convert to fraction form
    109,374.19/178,596.56 = 178,596.56/x
  3. Step 3: Cross multiply
    109,374.19x = 178,596.56 × 178,596.56
  4. Step 4: Simplify right side
    109,374.19x = 31,896,732,136.82
  5. Step 5: Solve for x
    x = 31,896,732,136.82/109,374.19
  6. Step 6: Final answer
    x = 291,629.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.