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Finding the Third Proportional to 177,518 and 386,140

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Solution

The third proportional to 177,518 and 386,140 is: 839,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,518 : 386,140 = 386,140 : x
  2. Step 2: Convert to fraction form
    177,518/386,140 = 386,140/x
  3. Step 3: Cross multiply
    177,518x = 386,140 × 386,140
  4. Step 4: Simplify right side
    177,518x = 149,104,099,600
  5. Step 5: Solve for x
    x = 149,104,099,600/177,518
  6. Step 6: Final answer
    x = 839,937.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.