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Finding the Third Proportional to 188,820 and 386,352

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Solution

The third proportional to 188,820 and 386,352 is: 790,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,820 : 386,352 = 386,352 : x
  2. Step 2: Convert to fraction form
    188,820/386,352 = 386,352/x
  3. Step 3: Cross multiply
    188,820x = 386,352 × 386,352
  4. Step 4: Simplify right side
    188,820x = 149,267,867,904
  5. Step 5: Solve for x
    x = 149,267,867,904/188,820
  6. Step 6: Final answer
    x = 790,529.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.