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Finding the Third Proportional to 205,660 and 311,076

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Solution

The third proportional to 205,660 and 311,076 is: 470,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,660 : 311,076 = 311,076 : x
  2. Step 2: Convert to fraction form
    205,660/311,076 = 311,076/x
  3. Step 3: Cross multiply
    205,660x = 311,076 × 311,076
  4. Step 4: Simplify right side
    205,660x = 96,768,277,776
  5. Step 5: Solve for x
    x = 96,768,277,776/205,660
  6. Step 6: Final answer
    x = 470,525.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.