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Finding the Third Proportional to 128,160.28 and 205,909.31

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Solution

The third proportional to 128,160.28 and 205,909.31 is: 330,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,160.28 : 205,909.31 = 205,909.31 : x
  2. Step 2: Convert to fraction form
    128,160.28/205,909.31 = 205,909.31/x
  3. Step 3: Cross multiply
    128,160.28x = 205,909.31 × 205,909.31
  4. Step 4: Simplify right side
    128,160.28x = 42,398,644,974.22
  5. Step 5: Solve for x
    x = 42,398,644,974.22/128,160.28
  6. Step 6: Final answer
    x = 330,825.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.