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Finding the Third Proportional to 77,394 and 156,916

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Solution

The third proportional to 77,394 and 156,916 is: 318,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,394 : 156,916 = 156,916 : x
  2. Step 2: Convert to fraction form
    77,394/156,916 = 156,916/x
  3. Step 3: Cross multiply
    77,394x = 156,916 × 156,916
  4. Step 4: Simplify right side
    77,394x = 24,622,631,056
  5. Step 5: Solve for x
    x = 24,622,631,056/77,394
  6. Step 6: Final answer
    x = 318,146.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.