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Finding the Third Proportional to 63,438.19 and 137,811.38

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Solution

The third proportional to 63,438.19 and 137,811.38 is: 299,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,438.19 : 137,811.38 = 137,811.38 : x
  2. Step 2: Convert to fraction form
    63,438.19/137,811.38 = 137,811.38/x
  3. Step 3: Cross multiply
    63,438.19x = 137,811.38 × 137,811.38
  4. Step 4: Simplify right side
    63,438.19x = 18,991,975,079.39
  5. Step 5: Solve for x
    x = 18,991,975,079.39/63,438.19
  6. Step 6: Final answer
    x = 299,377.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.