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Finding the Third Proportional to 138,033 and 206,224.88

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Solution

The third proportional to 138,033 and 206,224.88 is: 308,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,033 : 206,224.88 = 206,224.88 : x
  2. Step 2: Convert to fraction form
    138,033/206,224.88 = 206,224.88/x
  3. Step 3: Cross multiply
    138,033x = 206,224.88 × 206,224.88
  4. Step 4: Simplify right side
    138,033x = 42,528,699,068.77
  5. Step 5: Solve for x
    x = 42,528,699,068.77/138,033
  6. Step 6: Final answer
    x = 308,105.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.