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Finding the Third Proportional to 68,157.50 and 139,714.75

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Solution

The third proportional to 68,157.50 and 139,714.75 is: 286,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,157.50 : 139,714.75 = 139,714.75 : x
  2. Step 2: Convert to fraction form
    68,157.50/139,714.75 = 139,714.75/x
  3. Step 3: Cross multiply
    68,157.50x = 139,714.75 × 139,714.75
  4. Step 4: Simplify right side
    68,157.50x = 19,520,211,367.56
  5. Step 5: Solve for x
    x = 19,520,211,367.56/68,157.50
  6. Step 6: Final answer
    x = 286,398.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.