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Finding the Third Proportional to 77,660 and 116,370

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Solution

The third proportional to 77,660 and 116,370 is: 174,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,660 : 116,370 = 116,370 : x
  2. Step 2: Convert to fraction form
    77,660/116,370 = 116,370/x
  3. Step 3: Cross multiply
    77,660x = 116,370 × 116,370
  4. Step 4: Simplify right side
    77,660x = 13,541,976,900
  5. Step 5: Solve for x
    x = 13,541,976,900/77,660
  6. Step 6: Final answer
    x = 174,375.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.