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Finding the Third Proportional to 86,229.56 and 128,813.34

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Solution

The third proportional to 86,229.56 and 128,813.34 is: 192,426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,229.56 : 128,813.34 = 128,813.34 : x
  2. Step 2: Convert to fraction form
    86,229.56/128,813.34 = 128,813.34/x
  3. Step 3: Cross multiply
    86,229.56x = 128,813.34 × 128,813.34
  4. Step 4: Simplify right side
    86,229.56x = 16,592,877,528.06
  5. Step 5: Solve for x
    x = 16,592,877,528.06/86,229.56
  6. Step 6: Final answer
    x = 192,426.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.