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Finding the Third Proportional to 76,343 and 116,778

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Solution

The third proportional to 76,343 and 116,778 is: 178,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,343 : 116,778 = 116,778 : x
  2. Step 2: Convert to fraction form
    76,343/116,778 = 116,778/x
  3. Step 3: Cross multiply
    76,343x = 116,778 × 116,778
  4. Step 4: Simplify right side
    76,343x = 13,637,101,284
  5. Step 5: Solve for x
    x = 13,637,101,284/76,343
  6. Step 6: Final answer
    x = 178,629.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.