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Finding the Third Proportional to 77,295.75 and 122,957.25

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Solution

The third proportional to 77,295.75 and 122,957.25 is: 195,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,295.75 : 122,957.25 = 122,957.25 : x
  2. Step 2: Convert to fraction form
    77,295.75/122,957.25 = 122,957.25/x
  3. Step 3: Cross multiply
    77,295.75x = 122,957.25 × 122,957.25
  4. Step 4: Simplify right side
    77,295.75x = 15,118,485,327.56
  5. Step 5: Solve for x
    x = 15,118,485,327.56/77,295.75
  6. Step 6: Final answer
    x = 195,592.71

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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.