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Finding the Third Proportional to 255,900 and 391,671

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Solution

The third proportional to 255,900 and 391,671 is: 599,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,900 : 391,671 = 391,671 : x
  2. Step 2: Convert to fraction form
    255,900/391,671 = 391,671/x
  3. Step 3: Cross multiply
    255,900x = 391,671 × 391,671
  4. Step 4: Simplify right side
    255,900x = 153,406,172,241
  5. Step 5: Solve for x
    x = 153,406,172,241/255,900
  6. Step 6: Final answer
    x = 599,477.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.