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Finding the Third Proportional to 30,000 and 61,920

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Solution

The third proportional to 30,000 and 61,920 is: 127,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000 : 61,920 = 61,920 : x
  2. Step 2: Convert to fraction form
    30,000/61,920 = 61,920/x
  3. Step 3: Cross multiply
    30,000x = 61,920 × 61,920
  4. Step 4: Simplify right side
    30,000x = 3,834,086,400
  5. Step 5: Solve for x
    x = 3,834,086,400/30,000
  6. Step 6: Final answer
    x = 127,802.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.