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Finding the Third Proportional to 30,165 and 61,140.50

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Solution

The third proportional to 30,165 and 61,140.50 is: 123,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165 : 61,140.50 = 61,140.50 : x
  2. Step 2: Convert to fraction form
    30,165/61,140.50 = 61,140.50/x
  3. Step 3: Cross multiply
    30,165x = 61,140.50 × 61,140.50
  4. Step 4: Simplify right side
    30,165x = 3,738,160,740.25
  5. Step 5: Solve for x
    x = 3,738,160,740.25/30,165
  6. Step 6: Final answer
    x = 123,923.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.