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Finding the Third Proportional to 76,930 and 116,420

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Solution

The third proportional to 76,930 and 116,420 is: 176,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,930 : 116,420 = 116,420 : x
  2. Step 2: Convert to fraction form
    76,930/116,420 = 116,420/x
  3. Step 3: Cross multiply
    76,930x = 116,420 × 116,420
  4. Step 4: Simplify right side
    76,930x = 13,553,616,400
  5. Step 5: Solve for x
    x = 13,553,616,400/76,930
  6. Step 6: Final answer
    x = 176,181.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.