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Finding the Third Proportional to 76,776 and 161,955

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Solution

The third proportional to 76,776 and 161,955 is: 341,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,776 : 161,955 = 161,955 : x
  2. Step 2: Convert to fraction form
    76,776/161,955 = 161,955/x
  3. Step 3: Cross multiply
    76,776x = 161,955 × 161,955
  4. Step 4: Simplify right side
    76,776x = 26,229,422,025
  5. Step 5: Solve for x
    x = 26,229,422,025/76,776
  6. Step 6: Final answer
    x = 341,635.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.