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Finding the Third Proportional to 128,528.44 and 200,113.31

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Solution

The third proportional to 128,528.44 and 200,113.31 is: 311,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,528.44 : 200,113.31 = 200,113.31 : x
  2. Step 2: Convert to fraction form
    128,528.44/200,113.31 = 200,113.31/x
  3. Step 3: Cross multiply
    128,528.44x = 200,113.31 × 200,113.31
  4. Step 4: Simplify right side
    128,528.44x = 40,045,337,839.72
  5. Step 5: Solve for x
    x = 40,045,337,839.72/128,528.44
  6. Step 6: Final answer
    x = 311,567.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.