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Finding the Third Proportional to 177,417 and 384,678

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Solution

The third proportional to 177,417 and 384,678 is: 834,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,417 : 384,678 = 384,678 : x
  2. Step 2: Convert to fraction form
    177,417/384,678 = 384,678/x
  3. Step 3: Cross multiply
    177,417x = 384,678 × 384,678
  4. Step 4: Simplify right side
    177,417x = 147,977,163,684
  5. Step 5: Solve for x
    x = 147,977,163,684/177,417
  6. Step 6: Final answer
    x = 834,064.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.