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Finding the Third Proportional to 51,034.50 and 76,602.80

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Solution

The third proportional to 51,034.50 and 76,602.80 is: 114,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,034.50 : 76,602.80 = 76,602.80 : x
  2. Step 2: Convert to fraction form
    51,034.50/76,602.80 = 76,602.80/x
  3. Step 3: Cross multiply
    51,034.50x = 76,602.80 × 76,602.80
  4. Step 4: Simplify right side
    51,034.50x = 5,867,988,489.07
  5. Step 5: Solve for x
    x = 5,867,988,489.07/51,034.50
  6. Step 6: Final answer
    x = 114,980.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.