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Finding the Third Proportional to 177,488 and 386,074

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Solution

The third proportional to 177,488 and 386,074 is: 839,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,488 : 386,074 = 386,074 : x
  2. Step 2: Convert to fraction form
    177,488/386,074 = 386,074/x
  3. Step 3: Cross multiply
    177,488x = 386,074 × 386,074
  4. Step 4: Simplify right side
    177,488x = 149,053,133,476
  5. Step 5: Solve for x
    x = 149,053,133,476/177,488
  6. Step 6: Final answer
    x = 839,792.74

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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.