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Finding the Third Proportional to 77,051.25 and 122,259.38

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Solution

The third proportional to 77,051.25 and 122,259.38 is: 193,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,051.25 : 122,259.38 = 122,259.38 : x
  2. Step 2: Convert to fraction form
    77,051.25/122,259.38 = 122,259.38/x
  3. Step 3: Cross multiply
    77,051.25x = 122,259.38 × 122,259.38
  4. Step 4: Simplify right side
    77,051.25x = 14,947,354,775.39
  5. Step 5: Solve for x
    x = 14,947,354,775.39/77,051.25
  6. Step 6: Final answer
    x = 193,992.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.