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Finding the Third Proportional to 150,460.50 and 223,201.50

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Solution

The third proportional to 150,460.50 and 223,201.50 is: 331,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,460.50 : 223,201.50 = 223,201.50 : x
  2. Step 2: Convert to fraction form
    150,460.50/223,201.50 = 223,201.50/x
  3. Step 3: Cross multiply
    150,460.50x = 223,201.50 × 223,201.50
  4. Step 4: Simplify right side
    150,460.50x = 49,818,909,602.25
  5. Step 5: Solve for x
    x = 49,818,909,602.25/150,460.50
  6. Step 6: Final answer
    x = 331,109.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.