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Finding the Third Proportional to 205,658 and 311,073

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Solution

The third proportional to 205,658 and 311,073 is: 470,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,658 : 311,073 = 311,073 : x
  2. Step 2: Convert to fraction form
    205,658/311,073 = 311,073/x
  3. Step 3: Cross multiply
    205,658x = 311,073 × 311,073
  4. Step 4: Simplify right side
    205,658x = 96,766,411,329
  5. Step 5: Solve for x
    x = 96,766,411,329/205,658
  6. Step 6: Final answer
    x = 470,521.02

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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.