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Finding the Third Proportional to 77,760 and 166,576.50

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Solution

The third proportional to 77,760 and 166,576.50 is: 356,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,760 : 166,576.50 = 166,576.50 : x
  2. Step 2: Convert to fraction form
    77,760/166,576.50 = 166,576.50/x
  3. Step 3: Cross multiply
    77,760x = 166,576.50 × 166,576.50
  4. Step 4: Simplify right side
    77,760x = 27,747,730,352.25
  5. Step 5: Solve for x
    x = 27,747,730,352.25/77,760
  6. Step 6: Final answer
    x = 356,838.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.