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Finding the Third Proportional to 131,630.44 and 256,699.88

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Solution

The third proportional to 131,630.44 and 256,699.88 is: 500,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,630.44 : 256,699.88 = 256,699.88 : x
  2. Step 2: Convert to fraction form
    131,630.44/256,699.88 = 256,699.88/x
  3. Step 3: Cross multiply
    131,630.44x = 256,699.88 × 256,699.88
  4. Step 4: Simplify right side
    131,630.44x = 65,894,825,825.02
  5. Step 5: Solve for x
    x = 65,894,825,825.02/131,630.44
  6. Step 6: Final answer
    x = 500,604.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.