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Finding the Third Proportional to 137,399.81 and 218,567.06

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Solution

The third proportional to 137,399.81 and 218,567.06 is: 347,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,399.81 : 218,567.06 = 218,567.06 : x
  2. Step 2: Convert to fraction form
    137,399.81/218,567.06 = 218,567.06/x
  3. Step 3: Cross multiply
    137,399.81x = 218,567.06 × 218,567.06
  4. Step 4: Simplify right side
    137,399.81x = 47,771,560,809.88
  5. Step 5: Solve for x
    x = 47,771,560,809.88/137,399.81
  6. Step 6: Final answer
    x = 347,682.87

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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.