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Finding the Third Proportional to 78,238 and 117,731

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Solution

The third proportional to 78,238 and 117,731 is: 177,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,238 : 117,731 = 117,731 : x
  2. Step 2: Convert to fraction form
    78,238/117,731 = 117,731/x
  3. Step 3: Cross multiply
    78,238x = 117,731 × 117,731
  4. Step 4: Simplify right side
    78,238x = 13,860,588,361
  5. Step 5: Solve for x
    x = 13,860,588,361/78,238
  6. Step 6: Final answer
    x = 177,159.29

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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.