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Finding the Third Proportional to 178,830 and 386,700

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Solution

The third proportional to 178,830 and 386,700 is: 836,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,830 : 386,700 = 386,700 : x
  2. Step 2: Convert to fraction form
    178,830/386,700 = 386,700/x
  3. Step 3: Cross multiply
    178,830x = 386,700 × 386,700
  4. Step 4: Simplify right side
    178,830x = 149,536,890,000
  5. Step 5: Solve for x
    x = 149,536,890,000/178,830
  6. Step 6: Final answer
    x = 836,195.77

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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.