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Finding the Third Proportional to 918.84 and 1,386.42

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Solution

The third proportional to 918.84 and 1,386.42 is: 2,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.84 : 1,386.42 = 1,386.42 : x
  2. Step 2: Convert to fraction form
    918.84/1,386.42 = 1,386.42/x
  3. Step 3: Cross multiply
    918.84x = 1,386.42 × 1,386.42
  4. Step 4: Simplify right side
    918.84x = 1,922,165.62
  5. Step 5: Solve for x
    x = 1,922,165.62/918.84
  6. Step 6: Final answer
    x = 2,091.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.