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Finding the Third Proportional to 77,770 and 115,015

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Solution

The third proportional to 77,770 and 115,015 is: 170,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,770 : 115,015 = 115,015 : x
  2. Step 2: Convert to fraction form
    77,770/115,015 = 115,015/x
  3. Step 3: Cross multiply
    77,770x = 115,015 × 115,015
  4. Step 4: Simplify right side
    77,770x = 13,228,450,225
  5. Step 5: Solve for x
    x = 13,228,450,225/77,770
  6. Step 6: Final answer
    x = 170,097.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.