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Finding the Third Proportional to 291.09 and 634.08

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Solution

The third proportional to 291.09 and 634.08 is: 1,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.09 : 634.08 = 634.08 : x
  2. Step 2: Convert to fraction form
    291.09/634.08 = 634.08/x
  3. Step 3: Cross multiply
    291.09x = 634.08 × 634.08
  4. Step 4: Simplify right side
    291.09x = 402,055.07
  5. Step 5: Solve for x
    x = 402,055.07/291.09
  6. Step 6: Final answer
    x = 1,381.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.