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Finding the Third Proportional to 76,848 and 168,276

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Solution

The third proportional to 76,848 and 168,276 is: 368,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,848 : 168,276 = 168,276 : x
  2. Step 2: Convert to fraction form
    76,848/168,276 = 168,276/x
  3. Step 3: Cross multiply
    76,848x = 168,276 × 168,276
  4. Step 4: Simplify right side
    76,848x = 28,316,812,176
  5. Step 5: Solve for x
    x = 28,316,812,176/76,848
  6. Step 6: Final answer
    x = 368,478.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.