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Finding the Third Proportional to 138,684 and 203,089.50

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Solution

The third proportional to 138,684 and 203,089.50 is: 297,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,684 : 203,089.50 = 203,089.50 : x
  2. Step 2: Convert to fraction form
    138,684/203,089.50 = 203,089.50/x
  3. Step 3: Cross multiply
    138,684x = 203,089.50 × 203,089.50
  4. Step 4: Simplify right side
    138,684x = 41,245,345,010.25
  5. Step 5: Solve for x
    x = 41,245,345,010.25/138,684
  6. Step 6: Final answer
    x = 297,405.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.