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Finding the Third Proportional to 128,074 and 205,780

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Solution

The third proportional to 128,074 and 205,780 is: 330,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,074 : 205,780 = 205,780 : x
  2. Step 2: Convert to fraction form
    128,074/205,780 = 205,780/x
  3. Step 3: Cross multiply
    128,074x = 205,780 × 205,780
  4. Step 4: Simplify right side
    128,074x = 42,345,408,400
  5. Step 5: Solve for x
    x = 42,345,408,400/128,074
  6. Step 6: Final answer
    x = 330,632.36

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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.