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Finding the Third Proportional to 76,942 and 121,731

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Solution

The third proportional to 76,942 and 121,731 is: 192,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,942 : 121,731 = 121,731 : x
  2. Step 2: Convert to fraction form
    76,942/121,731 = 121,731/x
  3. Step 3: Cross multiply
    76,942x = 121,731 × 121,731
  4. Step 4: Simplify right side
    76,942x = 14,818,436,361
  5. Step 5: Solve for x
    x = 14,818,436,361/76,942
  6. Step 6: Final answer
    x = 192,592.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.