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Finding the Third Proportional to 20,418 and 37,920

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Solution

The third proportional to 20,418 and 37,920 is: 70,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,418 : 37,920 = 37,920 : x
  2. Step 2: Convert to fraction form
    20,418/37,920 = 37,920/x
  3. Step 3: Cross multiply
    20,418x = 37,920 × 37,920
  4. Step 4: Simplify right side
    20,418x = 1,437,926,400
  5. Step 5: Solve for x
    x = 1,437,926,400/20,418
  6. Step 6: Final answer
    x = 70,424.45

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.