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Finding the Third Proportional to 124,981.31 and 178,601.63

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Solution

The third proportional to 124,981.31 and 178,601.63 is: 255,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,981.31 : 178,601.63 = 178,601.63 : x
  2. Step 2: Convert to fraction form
    124,981.31/178,601.63 = 178,601.63/x
  3. Step 3: Cross multiply
    124,981.31x = 178,601.63 × 178,601.63
  4. Step 4: Simplify right side
    124,981.31x = 31,898,540,452.64
  5. Step 5: Solve for x
    x = 31,898,540,452.64/124,981.31
  6. Step 6: Final answer
    x = 255,226.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.