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Finding the Third Proportional to 4,920.75 and 10,620

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Solution

The third proportional to 4,920.75 and 10,620 is: 22,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.75 : 10,620 = 10,620 : x
  2. Step 2: Convert to fraction form
    4,920.75/10,620 = 10,620/x
  3. Step 3: Cross multiply
    4,920.75x = 10,620 × 10,620
  4. Step 4: Simplify right side
    4,920.75x = 112,784,400
  5. Step 5: Solve for x
    x = 112,784,400/4,920.75
  6. Step 6: Final answer
    x = 22,920.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.