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Finding the Third Proportional to 77,800.50 and 123,504.75

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Solution

The third proportional to 77,800.50 and 123,504.75 is: 196,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,800.50 : 123,504.75 = 123,504.75 : x
  2. Step 2: Convert to fraction form
    77,800.50/123,504.75 = 123,504.75/x
  3. Step 3: Cross multiply
    77,800.50x = 123,504.75 × 123,504.75
  4. Step 4: Simplify right side
    77,800.50x = 15,253,423,272.56
  5. Step 5: Solve for x
    x = 15,253,423,272.56/77,800.50
  6. Step 6: Final answer
    x = 196,058.17

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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.