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Finding the Third Proportional to 137,703 and 218,434.50

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Solution

The third proportional to 137,703 and 218,434.50 is: 346,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,703 : 218,434.50 = 218,434.50 : x
  2. Step 2: Convert to fraction form
    137,703/218,434.50 = 218,434.50/x
  3. Step 3: Cross multiply
    137,703x = 218,434.50 × 218,434.50
  4. Step 4: Simplify right side
    137,703x = 47,713,630,790.25
  5. Step 5: Solve for x
    x = 47,713,630,790.25/137,703
  6. Step 6: Final answer
    x = 346,496.67

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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.