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Finding the Third Proportional to 51,121.50 and 77,603.25

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Solution

The third proportional to 51,121.50 and 77,603.25 is: 117,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,121.50 : 77,603.25 = 77,603.25 : x
  2. Step 2: Convert to fraction form
    51,121.50/77,603.25 = 77,603.25/x
  3. Step 3: Cross multiply
    51,121.50x = 77,603.25 × 77,603.25
  4. Step 4: Simplify right side
    51,121.50x = 6,022,264,410.56
  5. Step 5: Solve for x
    x = 6,022,264,410.56/51,121.50
  6. Step 6: Final answer
    x = 117,802.97

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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.