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Finding the Third Proportional to 45,328.50 and 81,087.75

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Solution

The third proportional to 45,328.50 and 81,087.75 is: 145,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,328.50 : 81,087.75 = 81,087.75 : x
  2. Step 2: Convert to fraction form
    45,328.50/81,087.75 = 81,087.75/x
  3. Step 3: Cross multiply
    45,328.50x = 81,087.75 × 81,087.75
  4. Step 4: Simplify right side
    45,328.50x = 6,575,223,200.06
  5. Step 5: Solve for x
    x = 6,575,223,200.06/45,328.50
  6. Step 6: Final answer
    x = 145,057.15

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.