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Finding the Third Proportional to 77,245.50 and 103,460.25

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Solution

The third proportional to 77,245.50 and 103,460.25 is: 138,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,245.50 : 103,460.25 = 103,460.25 : x
  2. Step 2: Convert to fraction form
    77,245.50/103,460.25 = 103,460.25/x
  3. Step 3: Cross multiply
    77,245.50x = 103,460.25 × 103,460.25
  4. Step 4: Simplify right side
    77,245.50x = 10,704,023,330.06
  5. Step 5: Solve for x
    x = 10,704,023,330.06/77,245.50
  6. Step 6: Final answer
    x = 138,571.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.