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Finding the Third Proportional to 139,937.84 and 209,687.06

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Solution

The third proportional to 139,937.84 and 209,687.06 is: 314,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,937.84 : 209,687.06 = 209,687.06 : x
  2. Step 2: Convert to fraction form
    139,937.84/209,687.06 = 209,687.06/x
  3. Step 3: Cross multiply
    139,937.84x = 209,687.06 × 209,687.06
  4. Step 4: Simplify right side
    139,937.84x = 43,968,664,179.88
  5. Step 5: Solve for x
    x = 43,968,664,179.88/139,937.84
  6. Step 6: Final answer
    x = 314,201.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.