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Finding the Third Proportional to 31,390.03 and 68,998.08

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Solution

The third proportional to 31,390.03 and 68,998.08 is: 151,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.03 : 68,998.08 = 68,998.08 : x
  2. Step 2: Convert to fraction form
    31,390.03/68,998.08 = 68,998.08/x
  3. Step 3: Cross multiply
    31,390.03x = 68,998.08 × 68,998.08
  4. Step 4: Simplify right side
    31,390.03x = 4,760,734,784.94
  5. Step 5: Solve for x
    x = 4,760,734,784.94/31,390.03
  6. Step 6: Final answer
    x = 151,663.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.