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Finding the Third Proportional to 77,763 and 123,795.75

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Solution

The third proportional to 77,763 and 123,795.75 is: 197,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,763 : 123,795.75 = 123,795.75 : x
  2. Step 2: Convert to fraction form
    77,763/123,795.75 = 123,795.75/x
  3. Step 3: Cross multiply
    77,763x = 123,795.75 × 123,795.75
  4. Step 4: Simplify right side
    77,763x = 15,325,387,718.06
  5. Step 5: Solve for x
    x = 15,325,387,718.06/77,763
  6. Step 6: Final answer
    x = 197,078.14

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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.