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Finding the Third Proportional to 137,518.31 and 218,818.69

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Solution

The third proportional to 137,518.31 and 218,818.69 is: 348,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,518.31 : 218,818.69 = 218,818.69 : x
  2. Step 2: Convert to fraction form
    137,518.31/218,818.69 = 218,818.69/x
  3. Step 3: Cross multiply
    137,518.31x = 218,818.69 × 218,818.69
  4. Step 4: Simplify right side
    137,518.31x = 47,881,617,999.22
  5. Step 5: Solve for x
    x = 47,881,617,999.22/137,518.31
  6. Step 6: Final answer
    x = 348,183.58

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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.