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Finding the Third Proportional to 918.84 and 2,316.09

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Solution

The third proportional to 918.84 and 2,316.09 is: 5,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.84 : 2,316.09 = 2,316.09 : x
  2. Step 2: Convert to fraction form
    918.84/2,316.09 = 2,316.09/x
  3. Step 3: Cross multiply
    918.84x = 2,316.09 × 2,316.09
  4. Step 4: Simplify right side
    918.84x = 5,364,290.26
  5. Step 5: Solve for x
    x = 5,364,290.26/918.84
  6. Step 6: Final answer
    x = 5,838.09

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.