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Finding the Third Proportional to 77,980 and 115,306

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Solution

The third proportional to 77,980 and 115,306 is: 170,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980 : 115,306 = 115,306 : x
  2. Step 2: Convert to fraction form
    77,980/115,306 = 115,306/x
  3. Step 3: Cross multiply
    77,980x = 115,306 × 115,306
  4. Step 4: Simplify right side
    77,980x = 13,295,473,636
  5. Step 5: Solve for x
    x = 13,295,473,636/77,980
  6. Step 6: Final answer
    x = 170,498.51

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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.