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Finding the Third Proportional to 137,587.36 and 218,905.03

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Solution

The third proportional to 137,587.36 and 218,905.03 is: 348,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,587.36 : 218,905.03 = 218,905.03 : x
  2. Step 2: Convert to fraction form
    137,587.36/218,905.03 = 218,905.03/x
  3. Step 3: Cross multiply
    137,587.36x = 218,905.03 × 218,905.03
  4. Step 4: Simplify right side
    137,587.36x = 47,919,412,706.56
  5. Step 5: Solve for x
    x = 47,919,412,706.56/137,587.36
  6. Step 6: Final answer
    x = 348,283.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.