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Finding the Third Proportional to 76,512 and 165,729

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Solution

The third proportional to 76,512 and 165,729 is: 358,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512 : 165,729 = 165,729 : x
  2. Step 2: Convert to fraction form
    76,512/165,729 = 165,729/x
  3. Step 3: Cross multiply
    76,512x = 165,729 × 165,729
  4. Step 4: Simplify right side
    76,512x = 27,466,101,441
  5. Step 5: Solve for x
    x = 27,466,101,441/76,512
  6. Step 6: Final answer
    x = 358,977.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.