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Finding the Third Proportional to 18,821.81 and 27,712.69

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Solution

The third proportional to 18,821.81 and 27,712.69 is: 40,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,821.81 : 27,712.69 = 27,712.69 : x
  2. Step 2: Convert to fraction form
    18,821.81/27,712.69 = 27,712.69/x
  3. Step 3: Cross multiply
    18,821.81x = 27,712.69 × 27,712.69
  4. Step 4: Simplify right side
    18,821.81x = 767,993,048.47
  5. Step 5: Solve for x
    x = 767,993,048.47/18,821.81
  6. Step 6: Final answer
    x = 40,803.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.