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Finding the Third Proportional to 78,830 and 182,306

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Solution

The third proportional to 78,830 and 182,306 is: 421,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,830 : 182,306 = 182,306 : x
  2. Step 2: Convert to fraction form
    78,830/182,306 = 182,306/x
  3. Step 3: Cross multiply
    78,830x = 182,306 × 182,306
  4. Step 4: Simplify right side
    78,830x = 33,235,477,636
  5. Step 5: Solve for x
    x = 33,235,477,636/78,830
  6. Step 6: Final answer
    x = 421,609.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.