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Finding the Third Proportional to 51,438.38 and 77,157

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Solution

The third proportional to 51,438.38 and 77,157 is: 115,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,438.38 : 77,157 = 77,157 : x
  2. Step 2: Convert to fraction form
    51,438.38/77,157 = 77,157/x
  3. Step 3: Cross multiply
    51,438.38x = 77,157 × 77,157
  4. Step 4: Simplify right side
    51,438.38x = 5,953,202,649
  5. Step 5: Solve for x
    x = 5,953,202,649/51,438.38
  6. Step 6: Final answer
    x = 115,734.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.