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Finding the Third Proportional to 109,714.50 and 149,019.75

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Solution

The third proportional to 109,714.50 and 149,019.75 is: 202,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,714.50 : 149,019.75 = 149,019.75 : x
  2. Step 2: Convert to fraction form
    109,714.50/149,019.75 = 149,019.75/x
  3. Step 3: Cross multiply
    109,714.50x = 149,019.75 × 149,019.75
  4. Step 4: Simplify right side
    109,714.50x = 22,206,885,890.06
  5. Step 5: Solve for x
    x = 22,206,885,890.06/109,714.50
  6. Step 6: Final answer
    x = 202,406.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.