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Finding the Third Proportional to 128,212.88 and 275,117.06

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Solution

The third proportional to 128,212.88 and 275,117.06 is: 590,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,212.88 : 275,117.06 = 275,117.06 : x
  2. Step 2: Convert to fraction form
    128,212.88/275,117.06 = 275,117.06/x
  3. Step 3: Cross multiply
    128,212.88x = 275,117.06 × 275,117.06
  4. Step 4: Simplify right side
    128,212.88x = 75,689,398,078.63
  5. Step 5: Solve for x
    x = 75,689,398,078.63/128,212.88
  6. Step 6: Final answer
    x = 590,341.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.