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Finding the Third Proportional to 13,685.84 and 19,990.55

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Solution

The third proportional to 13,685.84 and 19,990.55 is: 29,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.84 : 19,990.55 = 19,990.55 : x
  2. Step 2: Convert to fraction form
    13,685.84/19,990.55 = 19,990.55/x
  3. Step 3: Cross multiply
    13,685.84x = 19,990.55 × 19,990.55
  4. Step 4: Simplify right side
    13,685.84x = 399,621,964.36
  5. Step 5: Solve for x
    x = 399,621,964.36/13,685.84
  6. Step 6: Final answer
    x = 29,199.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.