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Finding the Third Proportional to 77,220.75 and 123,325.13

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Solution

The third proportional to 77,220.75 and 123,325.13 is: 196,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,220.75 : 123,325.13 = 123,325.13 : x
  2. Step 2: Convert to fraction form
    77,220.75/123,325.13 = 123,325.13/x
  3. Step 3: Cross multiply
    77,220.75x = 123,325.13 × 123,325.13
  4. Step 4: Simplify right side
    77,220.75x = 15,209,086,456.27
  5. Step 5: Solve for x
    x = 15,209,086,456.27/77,220.75
  6. Step 6: Final answer
    x = 196,955.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.