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Finding the Third Proportional to 72,770 and 115,716

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Solution

The third proportional to 72,770 and 115,716 is: 184,007.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,770 : 115,716 = 115,716 : x
  2. Step 2: Convert to fraction form
    72,770/115,716 = 115,716/x
  3. Step 3: Cross multiply
    72,770x = 115,716 × 115,716
  4. Step 4: Simplify right side
    72,770x = 13,390,192,656
  5. Step 5: Solve for x
    x = 13,390,192,656/72,770
  6. Step 6: Final answer
    x = 184,007.04

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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.