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Finding the Third Proportional to 76,709 and 164,434

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Solution

The third proportional to 76,709 and 164,434 is: 352,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,709 : 164,434 = 164,434 : x
  2. Step 2: Convert to fraction form
    76,709/164,434 = 164,434/x
  3. Step 3: Cross multiply
    76,709x = 164,434 × 164,434
  4. Step 4: Simplify right side
    76,709x = 27,038,540,356
  5. Step 5: Solve for x
    x = 27,038,540,356/76,709
  6. Step 6: Final answer
    x = 352,481.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.