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Finding the Third Proportional to 179,630 and 386,354

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Solution

The third proportional to 179,630 and 386,354 is: 830,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,630 : 386,354 = 386,354 : x
  2. Step 2: Convert to fraction form
    179,630/386,354 = 386,354/x
  3. Step 3: Cross multiply
    179,630x = 386,354 × 386,354
  4. Step 4: Simplify right side
    179,630x = 149,269,413,316
  5. Step 5: Solve for x
    x = 149,269,413,316/179,630
  6. Step 6: Final answer
    x = 830,982.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.