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Finding the Third Proportional to 68,814.75 and 139,573.50

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Solution

The third proportional to 68,814.75 and 139,573.50 is: 283,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,814.75 : 139,573.50 = 139,573.50 : x
  2. Step 2: Convert to fraction form
    68,814.75/139,573.50 = 139,573.50/x
  3. Step 3: Cross multiply
    68,814.75x = 139,573.50 × 139,573.50
  4. Step 4: Simplify right side
    68,814.75x = 19,480,761,902.25
  5. Step 5: Solve for x
    x = 19,480,761,902.25/68,814.75
  6. Step 6: Final answer
    x = 283,089.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.