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Finding the Third Proportional to 30,999.50 and 67,535

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Solution

The third proportional to 30,999.50 and 67,535 is: 147,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.50 : 67,535 = 67,535 : x
  2. Step 2: Convert to fraction form
    30,999.50/67,535 = 67,535/x
  3. Step 3: Cross multiply
    30,999.50x = 67,535 × 67,535
  4. Step 4: Simplify right side
    30,999.50x = 4,560,976,225
  5. Step 5: Solve for x
    x = 4,560,976,225/30,999.50
  6. Step 6: Final answer
    x = 147,130.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.