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Finding the Third Proportional to 178,890 and 382,830

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Solution

The third proportional to 178,890 and 382,830 is: 819,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,890 : 382,830 = 382,830 : x
  2. Step 2: Convert to fraction form
    178,890/382,830 = 382,830/x
  3. Step 3: Cross multiply
    178,890x = 382,830 × 382,830
  4. Step 4: Simplify right side
    178,890x = 146,558,808,900
  5. Step 5: Solve for x
    x = 146,558,808,900/178,890
  6. Step 6: Final answer
    x = 819,267.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.