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Finding the Third Proportional to 77,699.25 and 119,981.25

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Solution

The third proportional to 77,699.25 and 119,981.25 is: 185,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,699.25 : 119,981.25 = 119,981.25 : x
  2. Step 2: Convert to fraction form
    77,699.25/119,981.25 = 119,981.25/x
  3. Step 3: Cross multiply
    77,699.25x = 119,981.25 × 119,981.25
  4. Step 4: Simplify right side
    77,699.25x = 14,395,500,351.56
  5. Step 5: Solve for x
    x = 14,395,500,351.56/77,699.25
  6. Step 6: Final answer
    x = 185,272.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.