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Finding the Third Proportional to 139,903.75 and 299,769.50

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Solution

The third proportional to 139,903.75 and 299,769.50 is: 642,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,903.75 : 299,769.50 = 299,769.50 : x
  2. Step 2: Convert to fraction form
    139,903.75/299,769.50 = 299,769.50/x
  3. Step 3: Cross multiply
    139,903.75x = 299,769.50 × 299,769.50
  4. Step 4: Simplify right side
    139,903.75x = 89,861,753,130.25
  5. Step 5: Solve for x
    x = 89,861,753,130.25/139,903.75
  6. Step 6: Final answer
    x = 642,311.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.