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Finding the Third Proportional to 178,810 and 386,658

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Solution

The third proportional to 178,810 and 386,658 is: 836,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,810 : 386,658 = 386,658 : x
  2. Step 2: Convert to fraction form
    178,810/386,658 = 386,658/x
  3. Step 3: Cross multiply
    178,810x = 386,658 × 386,658
  4. Step 4: Simplify right side
    178,810x = 149,504,408,964
  5. Step 5: Solve for x
    x = 149,504,408,964/178,810
  6. Step 6: Final answer
    x = 836,107.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.