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Finding the Third Proportional to 176,630 and 381,430

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Solution

The third proportional to 176,630 and 381,430 is: 823,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,630 : 381,430 = 381,430 : x
  2. Step 2: Convert to fraction form
    176,630/381,430 = 381,430/x
  3. Step 3: Cross multiply
    176,630x = 381,430 × 381,430
  4. Step 4: Simplify right side
    176,630x = 145,488,844,900
  5. Step 5: Solve for x
    x = 145,488,844,900/176,630
  6. Step 6: Final answer
    x = 823,692.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.