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Finding the Third Proportional to 77,402 and 115,815

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Solution

The third proportional to 77,402 and 115,815 is: 173,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,402 : 115,815 = 115,815 : x
  2. Step 2: Convert to fraction form
    77,402/115,815 = 115,815/x
  3. Step 3: Cross multiply
    77,402x = 115,815 × 115,815
  4. Step 4: Simplify right side
    77,402x = 13,413,114,225
  5. Step 5: Solve for x
    x = 13,413,114,225/77,402
  6. Step 6: Final answer
    x = 173,291.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.