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Finding the Third Proportional to 418.08 and 913.99

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Solution

The third proportional to 418.08 and 913.99 is: 1,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.08 : 913.99 = 913.99 : x
  2. Step 2: Convert to fraction form
    418.08/913.99 = 913.99/x
  3. Step 3: Cross multiply
    418.08x = 913.99 × 913.99
  4. Step 4: Simplify right side
    418.08x = 835,381.72
  5. Step 5: Solve for x
    x = 835,381.72/418.08
  6. Step 6: Final answer
    x = 1,998.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.