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Finding the Third Proportional to 10,935 and 29,515.50

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Solution

The third proportional to 10,935 and 29,515.50 is: 79,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935 : 29,515.50 = 29,515.50 : x
  2. Step 2: Convert to fraction form
    10,935/29,515.50 = 29,515.50/x
  3. Step 3: Cross multiply
    10,935x = 29,515.50 × 29,515.50
  4. Step 4: Simplify right side
    10,935x = 871,164,740.25
  5. Step 5: Solve for x
    x = 871,164,740.25/10,935
  6. Step 6: Final answer
    x = 79,667.56

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.