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Finding the Third Proportional to 291.09 and 463.92

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Solution

The third proportional to 291.09 and 463.92 is: 739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.09 : 463.92 = 463.92 : x
  2. Step 2: Convert to fraction form
    291.09/463.92 = 463.92/x
  3. Step 3: Cross multiply
    291.09x = 463.92 × 463.92
  4. Step 4: Simplify right side
    291.09x = 215,223.51
  5. Step 5: Solve for x
    x = 215,223.51/291.09
  6. Step 6: Final answer
    x = 739.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.