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Finding the Third Proportional to 30,008.25 and 65,416.50

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Solution

The third proportional to 30,008.25 and 65,416.50 is: 142,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,008.25 : 65,416.50 = 65,416.50 : x
  2. Step 2: Convert to fraction form
    30,008.25/65,416.50 = 65,416.50/x
  3. Step 3: Cross multiply
    30,008.25x = 65,416.50 × 65,416.50
  4. Step 4: Simplify right side
    30,008.25x = 4,279,318,472.25
  5. Step 5: Solve for x
    x = 4,279,318,472.25/30,008.25
  6. Step 6: Final answer
    x = 142,604.73

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1.5x scale

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.