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Finding the Third Proportional to 51,278.91 and 77,625.84

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Solution

The third proportional to 51,278.91 and 77,625.84 is: 117,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,278.91 : 77,625.84 = 77,625.84 : x
  2. Step 2: Convert to fraction form
    51,278.91/77,625.84 = 77,625.84/x
  3. Step 3: Cross multiply
    51,278.91x = 77,625.84 × 77,625.84
  4. Step 4: Simplify right side
    51,278.91x = 6,025,771,617.90
  5. Step 5: Solve for x
    x = 6,025,771,617.90/51,278.91
  6. Step 6: Final answer
    x = 117,509.75

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