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Finding the Third Proportional to 51,007.94 and 77,640.38

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Solution

The third proportional to 51,007.94 and 77,640.38 is: 118,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,007.94 : 77,640.38 = 77,640.38 : x
  2. Step 2: Convert to fraction form
    51,007.94/77,640.38 = 77,640.38/x
  3. Step 3: Cross multiply
    51,007.94x = 77,640.38 × 77,640.38
  4. Step 4: Simplify right side
    51,007.94x = 6,028,027,830.14
  5. Step 5: Solve for x
    x = 6,028,027,830.14/51,007.94
  6. Step 6: Final answer
    x = 118,178.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.