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Finding the Third Proportional to 77,713.25 and 139,435.75

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Solution

The third proportional to 77,713.25 and 139,435.75 is: 250,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,713.25 : 139,435.75 = 139,435.75 : x
  2. Step 2: Convert to fraction form
    77,713.25/139,435.75 = 139,435.75/x
  3. Step 3: Cross multiply
    77,713.25x = 139,435.75 × 139,435.75
  4. Step 4: Simplify right side
    77,713.25x = 19,442,328,378.06
  5. Step 5: Solve for x
    x = 19,442,328,378.06/77,713.25
  6. Step 6: Final answer
    x = 250,180.35

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.