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Finding the Third Proportional to 110,200.50 and 163,680.56

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Solution

The third proportional to 110,200.50 and 163,680.56 is: 243,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,200.50 : 163,680.56 = 163,680.56 : x
  2. Step 2: Convert to fraction form
    110,200.50/163,680.56 = 163,680.56/x
  3. Step 3: Cross multiply
    110,200.50x = 163,680.56 × 163,680.56
  4. Step 4: Simplify right side
    110,200.50x = 26,791,326,540.32
  5. Step 5: Solve for x
    x = 26,791,326,540.32/110,200.50
  6. Step 6: Final answer
    x = 243,114.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.