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Finding the Third Proportional to 84,072.94 and 128,572.31

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Solution

The third proportional to 84,072.94 and 128,572.31 is: 196,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,072.94 : 128,572.31 = 128,572.31 : x
  2. Step 2: Convert to fraction form
    84,072.94/128,572.31 = 128,572.31/x
  3. Step 3: Cross multiply
    84,072.94x = 128,572.31 × 128,572.31
  4. Step 4: Simplify right side
    84,072.94x = 16,530,839,541.60
  5. Step 5: Solve for x
    x = 16,530,839,541.60/84,072.94
  6. Step 6: Final answer
    x = 196,624.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.