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Finding the Third Proportional to 128,100.75 and 204,643.13

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Solution

The third proportional to 128,100.75 and 204,643.13 is: 326,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,100.75 : 204,643.13 = 204,643.13 : x
  2. Step 2: Convert to fraction form
    128,100.75/204,643.13 = 204,643.13/x
  3. Step 3: Cross multiply
    128,100.75x = 204,643.13 × 204,643.13
  4. Step 4: Simplify right side
    128,100.75x = 41,878,808,609.77
  5. Step 5: Solve for x
    x = 41,878,808,609.77/128,100.75
  6. Step 6: Final answer
    x = 326,920.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.