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Finding the Third Proportional to 14,740 and 21,918

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Solution

The third proportional to 14,740 and 21,918 is: 32,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,740 : 21,918 = 21,918 : x
  2. Step 2: Convert to fraction form
    14,740/21,918 = 21,918/x
  3. Step 3: Cross multiply
    14,740x = 21,918 × 21,918
  4. Step 4: Simplify right side
    14,740x = 480,398,724
  5. Step 5: Solve for x
    x = 480,398,724/14,740
  6. Step 6: Final answer
    x = 32,591.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.