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Finding the Third Proportional to 3,784.13 and 7,721.63

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Solution

The third proportional to 3,784.13 and 7,721.63 is: 15,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.13 : 7,721.63 = 7,721.63 : x
  2. Step 2: Convert to fraction form
    3,784.13/7,721.63 = 7,721.63/x
  3. Step 3: Cross multiply
    3,784.13x = 7,721.63 × 7,721.63
  4. Step 4: Simplify right side
    3,784.13x = 59,623,492.64
  5. Step 5: Solve for x
    x = 59,623,492.64/3,784.13
  6. Step 6: Final answer
    x = 15,756.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.