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Finding the Third Proportional to 150,040.50 and 219,129

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Solution

The third proportional to 150,040.50 and 219,129 is: 320,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,040.50 : 219,129 = 219,129 : x
  2. Step 2: Convert to fraction form
    150,040.50/219,129 = 219,129/x
  3. Step 3: Cross multiply
    150,040.50x = 219,129 × 219,129
  4. Step 4: Simplify right side
    150,040.50x = 48,017,518,641
  5. Step 5: Solve for x
    x = 48,017,518,641/150,040.50
  6. Step 6: Final answer
    x = 320,030.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.