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Finding the Third Proportional to 131,659.13 and 198,653.63

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Solution

The third proportional to 131,659.13 and 198,653.63 is: 299,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,659.13 : 198,653.63 = 198,653.63 : x
  2. Step 2: Convert to fraction form
    131,659.13/198,653.63 = 198,653.63/x
  3. Step 3: Cross multiply
    131,659.13x = 198,653.63 × 198,653.63
  4. Step 4: Simplify right side
    131,659.13x = 39,463,262,725.64
  5. Step 5: Solve for x
    x = 39,463,262,725.64/131,659.13
  6. Step 6: Final answer
    x = 299,738.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.