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Finding the Third Proportional to 177,495 and 386,087

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Solution

The third proportional to 177,495 and 386,087 is: 839,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,495 : 386,087 = 386,087 : x
  2. Step 2: Convert to fraction form
    177,495/386,087 = 386,087/x
  3. Step 3: Cross multiply
    177,495x = 386,087 × 386,087
  4. Step 4: Simplify right side
    177,495x = 149,063,171,569
  5. Step 5: Solve for x
    x = 149,063,171,569/177,495
  6. Step 6: Final answer
    x = 839,816.17

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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.