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Finding the Third Proportional to 76,309.50 and 163,690.88

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Solution

The third proportional to 76,309.50 and 163,690.88 is: 351,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,309.50 : 163,690.88 = 163,690.88 : x
  2. Step 2: Convert to fraction form
    76,309.50/163,690.88 = 163,690.88/x
  3. Step 3: Cross multiply
    76,309.50x = 163,690.88 × 163,690.88
  4. Step 4: Simplify right side
    76,309.50x = 26,794,702,558.27
  5. Step 5: Solve for x
    x = 26,794,702,558.27/76,309.50
  6. Step 6: Final answer
    x = 351,131.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.