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Finding the Third Proportional to 30,438.75 and 45,534.38

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Solution

The third proportional to 30,438.75 and 45,534.38 is: 68,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.75 : 45,534.38 = 45,534.38 : x
  2. Step 2: Convert to fraction form
    30,438.75/45,534.38 = 45,534.38/x
  3. Step 3: Cross multiply
    30,438.75x = 45,534.38 × 45,534.38
  4. Step 4: Simplify right side
    30,438.75x = 2,073,379,306.64
  5. Step 5: Solve for x
    x = 2,073,379,306.64/30,438.75
  6. Step 6: Final answer
    x = 68,116.44

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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.