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Finding the Third Proportional to 76,128 and 160,462

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Solution

The third proportional to 76,128 and 160,462 is: 338,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,128 : 160,462 = 160,462 : x
  2. Step 2: Convert to fraction form
    76,128/160,462 = 160,462/x
  3. Step 3: Cross multiply
    76,128x = 160,462 × 160,462
  4. Step 4: Simplify right side
    76,128x = 25,748,053,444
  5. Step 5: Solve for x
    x = 25,748,053,444/76,128
  6. Step 6: Final answer
    x = 338,220.54

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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.