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Finding the Third Proportional to 77,679 and 166,819.50

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Solution

The third proportional to 77,679 and 166,819.50 is: 358,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679 : 166,819.50 = 166,819.50 : x
  2. Step 2: Convert to fraction form
    77,679/166,819.50 = 166,819.50/x
  3. Step 3: Cross multiply
    77,679x = 166,819.50 × 166,819.50
  4. Step 4: Simplify right side
    77,679x = 27,828,745,580.25
  5. Step 5: Solve for x
    x = 27,828,745,580.25/77,679
  6. Step 6: Final answer
    x = 358,253.14

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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.