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Finding the Third Proportional to 76,346 and 163,978

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Solution

The third proportional to 76,346 and 163,978 is: 352,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,346 : 163,978 = 163,978 : x
  2. Step 2: Convert to fraction form
    76,346/163,978 = 163,978/x
  3. Step 3: Cross multiply
    76,346x = 163,978 × 163,978
  4. Step 4: Simplify right side
    76,346x = 26,888,784,484
  5. Step 5: Solve for x
    x = 26,888,784,484/76,346
  6. Step 6: Final answer
    x = 352,196.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.