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Finding the Third Proportional to 77,745.75 and 123,769.50

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Solution

The third proportional to 77,745.75 and 123,769.50 is: 197,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,745.75 : 123,769.50 = 123,769.50 : x
  2. Step 2: Convert to fraction form
    77,745.75/123,769.50 = 123,769.50/x
  3. Step 3: Cross multiply
    77,745.75x = 123,769.50 × 123,769.50
  4. Step 4: Simplify right side
    77,745.75x = 15,318,889,130.25
  5. Step 5: Solve for x
    x = 15,318,889,130.25/77,745.75
  6. Step 6: Final answer
    x = 197,038.28

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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.