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Finding the Third Proportional to 76,893 and 168,930

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Solution

The third proportional to 76,893 and 168,930 is: 371,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,893 : 168,930 = 168,930 : x
  2. Step 2: Convert to fraction form
    76,893/168,930 = 168,930/x
  3. Step 3: Cross multiply
    76,893x = 168,930 × 168,930
  4. Step 4: Simplify right side
    76,893x = 28,537,344,900
  5. Step 5: Solve for x
    x = 28,537,344,900/76,893
  6. Step 6: Final answer
    x = 371,130.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.