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Finding the Third Proportional to 205,645 and 311,060

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Solution

The third proportional to 205,645 and 311,060 is: 470,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,645 : 311,060 = 311,060 : x
  2. Step 2: Convert to fraction form
    205,645/311,060 = 311,060/x
  3. Step 3: Cross multiply
    205,645x = 311,060 × 311,060
  4. Step 4: Simplify right side
    205,645x = 96,758,323,600
  5. Step 5: Solve for x
    x = 96,758,323,600/205,645
  6. Step 6: Final answer
    x = 470,511.43

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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.