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Finding the Third Proportional to 30,085.50 and 60,900

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Solution

The third proportional to 30,085.50 and 60,900 is: 123,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085.50 : 60,900 = 60,900 : x
  2. Step 2: Convert to fraction form
    30,085.50/60,900 = 60,900/x
  3. Step 3: Cross multiply
    30,085.50x = 60,900 × 60,900
  4. Step 4: Simplify right side
    30,085.50x = 3,708,810,000
  5. Step 5: Solve for x
    x = 3,708,810,000/30,085.50
  6. Step 6: Final answer
    x = 123,275.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.