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Finding the Third Proportional to 72,780 and 115,731

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Solution

The third proportional to 72,780 and 115,731 is: 184,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,780 : 115,731 = 115,731 : x
  2. Step 2: Convert to fraction form
    72,780/115,731 = 115,731/x
  3. Step 3: Cross multiply
    72,780x = 115,731 × 115,731
  4. Step 4: Simplify right side
    72,780x = 13,393,664,361
  5. Step 5: Solve for x
    x = 13,393,664,361/72,780
  6. Step 6: Final answer
    x = 184,029.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.