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Finding the Third Proportional to 177,490 and 386,078

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Solution

The third proportional to 177,490 and 386,078 is: 839,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,490 : 386,078 = 386,078 : x
  2. Step 2: Convert to fraction form
    177,490/386,078 = 386,078/x
  3. Step 3: Cross multiply
    177,490x = 386,078 × 386,078
  4. Step 4: Simplify right side
    177,490x = 149,056,222,084
  5. Step 5: Solve for x
    x = 149,056,222,084/177,490
  6. Step 6: Final answer
    x = 839,800.68

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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.