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Finding the Third Proportional to 128,346.89 and 199,520.30

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Solution

The third proportional to 128,346.89 and 199,520.30 is: 310,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,346.89 : 199,520.30 = 199,520.30 : x
  2. Step 2: Convert to fraction form
    128,346.89/199,520.30 = 199,520.30/x
  3. Step 3: Cross multiply
    128,346.89x = 199,520.30 × 199,520.30
  4. Step 4: Simplify right side
    128,346.89x = 39,808,348,865.09
  5. Step 5: Solve for x
    x = 39,808,348,865.09/128,346.89
  6. Step 6: Final answer
    x = 310,162.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.