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Finding the Third Proportional to 77,331 and 113,728.50

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Solution

The third proportional to 77,331 and 113,728.50 is: 167,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,331 : 113,728.50 = 113,728.50 : x
  2. Step 2: Convert to fraction form
    77,331/113,728.50 = 113,728.50/x
  3. Step 3: Cross multiply
    77,331x = 113,728.50 × 113,728.50
  4. Step 4: Simplify right side
    77,331x = 12,934,171,712.25
  5. Step 5: Solve for x
    x = 12,934,171,712.25/77,331
  6. Step 6: Final answer
    x = 167,257.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.