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Finding the Third Proportional to 291.93 and 637.92

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Solution

The third proportional to 291.93 and 637.92 is: 1,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.93 : 637.92 = 637.92 : x
  2. Step 2: Convert to fraction form
    291.93/637.92 = 637.92/x
  3. Step 3: Cross multiply
    291.93x = 637.92 × 637.92
  4. Step 4: Simplify right side
    291.93x = 406,941.28
  5. Step 5: Solve for x
    x = 406,941.28/291.93
  6. Step 6: Final answer
    x = 1,393.97

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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.