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Finding the Third Proportional to 177,476 and 386,054

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Solution

The third proportional to 177,476 and 386,054 is: 839,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,476 : 386,054 = 386,054 : x
  2. Step 2: Convert to fraction form
    177,476/386,054 = 386,054/x
  3. Step 3: Cross multiply
    177,476x = 386,054 × 386,054
  4. Step 4: Simplify right side
    177,476x = 149,037,690,916
  5. Step 5: Solve for x
    x = 149,037,690,916/177,476
  6. Step 6: Final answer
    x = 839,762.51

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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.