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Finding the Third Proportional to 145,321 and 197,245.50

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Solution

The third proportional to 145,321 and 197,245.50 is: 267,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,321 : 197,245.50 = 197,245.50 : x
  2. Step 2: Convert to fraction form
    145,321/197,245.50 = 197,245.50/x
  3. Step 3: Cross multiply
    145,321x = 197,245.50 × 197,245.50
  4. Step 4: Simplify right side
    145,321x = 38,905,787,270.25
  5. Step 5: Solve for x
    x = 38,905,787,270.25/145,321
  6. Step 6: Final answer
    x = 267,723.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.